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Finding the Fourth Proportional to 1,124.17, 1,551.16 and 626.79

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Solution

The fourth proportional to 1,124.17, 1,551.16 and 626.79 is: 864.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.17 : 1,551.16 = 626.79 : x
  2. Step 2: Convert to fraction form
    1,124.17/1,551.16 = 626.79/x
  3. Step 3: Cross multiply
    1,124.17x = 1,551.16 × 626.79
  4. Step 4: Simplify right side
    1,124.17x = 972,251.58
  5. Step 5: Solve for x
    x = 972,251.58/1,124.17
  6. Step 6: Final answer
    x = 864.86

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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.