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Finding the Fourth Proportional to 962.30, 1,446.68 and 759.32

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Solution

The fourth proportional to 962.30, 1,446.68 and 759.32 is: 1,141.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.30 : 1,446.68 = 759.32 : x
  2. Step 2: Convert to fraction form
    962.30/1,446.68 = 759.32/x
  3. Step 3: Cross multiply
    962.30x = 1,446.68 × 759.32
  4. Step 4: Simplify right side
    962.30x = 1,098,482.03
  5. Step 5: Solve for x
    x = 1,098,482.03/962.30
  6. Step 6: Final answer
    x = 1,141.52

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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.