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Finding the Fourth Proportional to 1,125.20, 1,686.90 and 576.68

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Solution

The fourth proportional to 1,125.20, 1,686.90 and 576.68 is: 864.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.20 : 1,686.90 = 576.68 : x
  2. Step 2: Convert to fraction form
    1,125.20/1,686.90 = 576.68/x
  3. Step 3: Cross multiply
    1,125.20x = 1,686.90 × 576.68
  4. Step 4: Simplify right side
    1,125.20x = 972,801.49
  5. Step 5: Solve for x
    x = 972,801.49/1,125.20
  6. Step 6: Final answer
    x = 864.56

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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.