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Finding the Fourth Proportional to 1,154.33, 1,731.48 and 288.64

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Solution

The fourth proportional to 1,154.33, 1,731.48 and 288.64 is: 432.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.33 : 1,731.48 = 288.64 : x
  2. Step 2: Convert to fraction form
    1,154.33/1,731.48 = 288.64/x
  3. Step 3: Cross multiply
    1,154.33x = 1,731.48 × 288.64
  4. Step 4: Simplify right side
    1,154.33x = 499,775.47
  5. Step 5: Solve for x
    x = 499,775.47/1,154.33
  6. Step 6: Final answer
    x = 432.96

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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.