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Finding the Fourth Proportional to 1,125.69, 1,688.52 and 508.97

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Solution

The fourth proportional to 1,125.69, 1,688.52 and 508.97 is: 763.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.69 : 1,688.52 = 508.97 : x
  2. Step 2: Convert to fraction form
    1,125.69/1,688.52 = 508.97/x
  3. Step 3: Cross multiply
    1,125.69x = 1,688.52 × 508.97
  4. Step 4: Simplify right side
    1,125.69x = 859,397.26
  5. Step 5: Solve for x
    x = 859,397.26/1,125.69
  6. Step 6: Final answer
    x = 763.44

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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.