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Finding the Fourth Proportional to 1,154.33, 1,731.73 and 332.61

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Solution

The fourth proportional to 1,154.33, 1,731.73 and 332.61 is: 498.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.33 : 1,731.73 = 332.61 : x
  2. Step 2: Convert to fraction form
    1,154.33/1,731.73 = 332.61/x
  3. Step 3: Cross multiply
    1,154.33x = 1,731.73 × 332.61
  4. Step 4: Simplify right side
    1,154.33x = 575,998.62
  5. Step 5: Solve for x
    x = 575,998.62/1,154.33
  6. Step 6: Final answer
    x = 498.99

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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.