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Finding the Fourth Proportional to 1,154.59, 1,732.16 and 332.87

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Solution

The fourth proportional to 1,154.59, 1,732.16 and 332.87 is: 499.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.59 : 1,732.16 = 332.87 : x
  2. Step 2: Convert to fraction form
    1,154.59/1,732.16 = 332.87/x
  3. Step 3: Cross multiply
    1,154.59x = 1,732.16 × 332.87
  4. Step 4: Simplify right side
    1,154.59x = 576,584.10
  5. Step 5: Solve for x
    x = 576,584.10/1,154.59
  6. Step 6: Final answer
    x = 499.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.