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Finding the Fourth Proportional to 1,193.39, 1,646.41 and 745

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Solution

The fourth proportional to 1,193.39, 1,646.41 and 745 is: 1,027.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.39 : 1,646.41 = 745 : x
  2. Step 2: Convert to fraction form
    1,193.39/1,646.41 = 745/x
  3. Step 3: Cross multiply
    1,193.39x = 1,646.41 × 745
  4. Step 4: Simplify right side
    1,193.39x = 1,226,575.45
  5. Step 5: Solve for x
    x = 1,226,575.45/1,193.39
  6. Step 6: Final answer
    x = 1,027.81

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.