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Finding the Fourth Proportional to 1,123.52, 1,550.46 and 626.18

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Solution

The fourth proportional to 1,123.52, 1,550.46 and 626.18 is: 864.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.52 : 1,550.46 = 626.18 : x
  2. Step 2: Convert to fraction form
    1,123.52/1,550.46 = 626.18/x
  3. Step 3: Cross multiply
    1,123.52x = 1,550.46 × 626.18
  4. Step 4: Simplify right side
    1,123.52x = 970,867.04
  5. Step 5: Solve for x
    x = 970,867.04/1,123.52
  6. Step 6: Final answer
    x = 864.13

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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.