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Finding the Fourth Proportional to 1,124.69, 1,687.56 and 431.13

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Solution

The fourth proportional to 1,124.69, 1,687.56 and 431.13 is: 646.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.69 : 1,687.56 = 431.13 : x
  2. Step 2: Convert to fraction form
    1,124.69/1,687.56 = 431.13/x
  3. Step 3: Cross multiply
    1,124.69x = 1,687.56 × 431.13
  4. Step 4: Simplify right side
    1,124.69x = 727,557.74
  5. Step 5: Solve for x
    x = 727,557.74/1,124.69
  6. Step 6: Final answer
    x = 646.89

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