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Finding the Fourth Proportional to 1,124.28, 1,686.60 and 475.04

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Solution

The fourth proportional to 1,124.28, 1,686.60 and 475.04 is: 712.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.28 : 1,686.60 = 475.04 : x
  2. Step 2: Convert to fraction form
    1,124.28/1,686.60 = 475.04/x
  3. Step 3: Cross multiply
    1,124.28x = 1,686.60 × 475.04
  4. Step 4: Simplify right side
    1,124.28x = 801,202.46
  5. Step 5: Solve for x
    x = 801,202.46/1,124.28
  6. Step 6: Final answer
    x = 712.64

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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.