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Finding the Fourth Proportional to 1,123.74, 1,685.24 and 430.38

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Solution

The fourth proportional to 1,123.74, 1,685.24 and 430.38 is: 645.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.74 : 1,685.24 = 430.38 : x
  2. Step 2: Convert to fraction form
    1,123.74/1,685.24 = 430.38/x
  3. Step 3: Cross multiply
    1,123.74x = 1,685.24 × 430.38
  4. Step 4: Simplify right side
    1,123.74x = 725,293.59
  5. Step 5: Solve for x
    x = 725,293.59/1,123.74
  6. Step 6: Final answer
    x = 645.43

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Why These Related Problems?

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