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Finding the Fourth Proportional to 1,124.20, 1,686.80 and 475.12

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Solution

The fourth proportional to 1,124.20, 1,686.80 and 475.12 is: 712.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.20 : 1,686.80 = 475.12 : x
  2. Step 2: Convert to fraction form
    1,124.20/1,686.80 = 475.12/x
  3. Step 3: Cross multiply
    1,124.20x = 1,686.80 × 475.12
  4. Step 4: Simplify right side
    1,124.20x = 801,432.42
  5. Step 5: Solve for x
    x = 801,432.42/1,124.20
  6. Step 6: Final answer
    x = 712.89

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