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Finding the Fourth Proportional to 1,154.56, 1,732.32 and 577.76

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Solution

The fourth proportional to 1,154.56, 1,732.32 and 577.76 is: 866.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.56 : 1,732.32 = 577.76 : x
  2. Step 2: Convert to fraction form
    1,154.56/1,732.32 = 577.76/x
  3. Step 3: Cross multiply
    1,154.56x = 1,732.32 × 577.76
  4. Step 4: Simplify right side
    1,154.56x = 1,000,865.20
  5. Step 5: Solve for x
    x = 1,000,865.20/1,154.56
  6. Step 6: Final answer
    x = 866.88

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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.