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Finding the Fourth Proportional to 762.40, 1,049.88 and 742.24

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Solution

The fourth proportional to 762.40, 1,049.88 and 742.24 is: 1,022.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.40 : 1,049.88 = 742.24 : x
  2. Step 2: Convert to fraction form
    762.40/1,049.88 = 742.24/x
  3. Step 3: Cross multiply
    762.40x = 1,049.88 × 742.24
  4. Step 4: Simplify right side
    762.40x = 779,262.93
  5. Step 5: Solve for x
    x = 779,262.93/762.40
  6. Step 6: Final answer
    x = 1,022.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.