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Finding the Fourth Proportional to 1,124.86, 1,552.27 and 627.49

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Solution

The fourth proportional to 1,124.86, 1,552.27 and 627.49 is: 865.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.86 : 1,552.27 = 627.49 : x
  2. Step 2: Convert to fraction form
    1,124.86/1,552.27 = 627.49/x
  3. Step 3: Cross multiply
    1,124.86x = 1,552.27 × 627.49
  4. Step 4: Simplify right side
    1,124.86x = 974,033.90
  5. Step 5: Solve for x
    x = 974,033.90/1,124.86
  6. Step 6: Final answer
    x = 865.92

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