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Finding the Fourth Proportional to 1,193.19, 1,646.20 and 695.44

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Solution

The fourth proportional to 1,193.19, 1,646.20 and 695.44 is: 959.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.19 : 1,646.20 = 695.44 : x
  2. Step 2: Convert to fraction form
    1,193.19/1,646.20 = 695.44/x
  3. Step 3: Cross multiply
    1,193.19x = 1,646.20 × 695.44
  4. Step 4: Simplify right side
    1,193.19x = 1,144,833.33
  5. Step 5: Solve for x
    x = 1,144,833.33/1,193.19
  6. Step 6: Final answer
    x = 959.47

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Half scale
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Double scale
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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.