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Finding the Fourth Proportional to 1,124.27, 1,551.51 and 626.90

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Solution

The fourth proportional to 1,124.27, 1,551.51 and 626.90 is: 865.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.27 : 1,551.51 = 626.90 : x
  2. Step 2: Convert to fraction form
    1,124.27/1,551.51 = 626.90/x
  3. Step 3: Cross multiply
    1,124.27x = 1,551.51 × 626.90
  4. Step 4: Simplify right side
    1,124.27x = 972,641.62
  5. Step 5: Solve for x
    x = 972,641.62/1,124.27
  6. Step 6: Final answer
    x = 865.13

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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.