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Finding the Fourth Proportional to 782.84, 1,082.34 and 748.40

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Solution

The fourth proportional to 782.84, 1,082.34 and 748.40 is: 1,034.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.84 : 1,082.34 = 748.40 : x
  2. Step 2: Convert to fraction form
    782.84/1,082.34 = 748.40/x
  3. Step 3: Cross multiply
    782.84x = 1,082.34 × 748.40
  4. Step 4: Simplify right side
    782.84x = 810,023.26
  5. Step 5: Solve for x
    x = 810,023.26/782.84
  6. Step 6: Final answer
    x = 1,034.72

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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.