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Finding the Fourth Proportional to 1,125.32, 1,686.54 and 475.16

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Solution

The fourth proportional to 1,125.32, 1,686.54 and 475.16 is: 712.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.32 : 1,686.54 = 475.16 : x
  2. Step 2: Convert to fraction form
    1,125.32/1,686.54 = 475.16/x
  3. Step 3: Cross multiply
    1,125.32x = 1,686.54 × 475.16
  4. Step 4: Simplify right side
    1,125.32x = 801,376.35
  5. Step 5: Solve for x
    x = 801,376.35/1,125.32
  6. Step 6: Final answer
    x = 712.13

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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.