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Finding the Fourth Proportional to 749.62, 1,124.89 and 287.43

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Solution

The fourth proportional to 749.62, 1,124.89 and 287.43 is: 431.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.62 : 1,124.89 = 287.43 : x
  2. Step 2: Convert to fraction form
    749.62/1,124.89 = 287.43/x
  3. Step 3: Cross multiply
    749.62x = 1,124.89 × 287.43
  4. Step 4: Simplify right side
    749.62x = 323,325.70
  5. Step 5: Solve for x
    x = 323,325.70/749.62
  6. Step 6: Final answer
    x = 431.32

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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.