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Finding the Fourth Proportional to 1,154.61, 1,731.66 and 332.73

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Solution

The fourth proportional to 1,154.61, 1,731.66 and 332.73 is: 499.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.61 : 1,731.66 = 332.73 : x
  2. Step 2: Convert to fraction form
    1,154.61/1,731.66 = 332.73/x
  3. Step 3: Cross multiply
    1,154.61x = 1,731.66 × 332.73
  4. Step 4: Simplify right side
    1,154.61x = 576,175.23
  5. Step 5: Solve for x
    x = 576,175.23/1,154.61
  6. Step 6: Final answer
    x = 499.02

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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.