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Finding the Fourth Proportional to 762.32, 1,145.64 and 742.88

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Solution

The fourth proportional to 762.32, 1,145.64 and 742.88 is: 1,116.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.32 : 1,145.64 = 742.88 : x
  2. Step 2: Convert to fraction form
    762.32/1,145.64 = 742.88/x
  3. Step 3: Cross multiply
    762.32x = 1,145.64 × 742.88
  4. Step 4: Simplify right side
    762.32x = 851,073.04
  5. Step 5: Solve for x
    x = 851,073.04/762.32
  6. Step 6: Final answer
    x = 1,116.42

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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.