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Finding the Fourth Proportional to 1,123.47, 1,685.36 and 382.86

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Solution

The fourth proportional to 1,123.47, 1,685.36 and 382.86 is: 574.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.47 : 1,685.36 = 382.86 : x
  2. Step 2: Convert to fraction form
    1,123.47/1,685.36 = 382.86/x
  3. Step 3: Cross multiply
    1,123.47x = 1,685.36 × 382.86
  4. Step 4: Simplify right side
    1,123.47x = 645,246.59
  5. Step 5: Solve for x
    x = 645,246.59/1,123.47
  6. Step 6: Final answer
    x = 574.34

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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.