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Finding the Fourth Proportional to 1,118.25, 1,677.38 and 434.25

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Solution

The fourth proportional to 1,118.25, 1,677.38 and 434.25 is: 651.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.25 : 1,677.38 = 434.25 : x
  2. Step 2: Convert to fraction form
    1,118.25/1,677.38 = 434.25/x
  3. Step 3: Cross multiply
    1,118.25x = 1,677.38 × 434.25
  4. Step 4: Simplify right side
    1,118.25x = 728,400.09
  5. Step 5: Solve for x
    x = 728,400.09/1,118.25
  6. Step 6: Final answer
    x = 651.38

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.