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Finding the Fourth Proportional to 725.76, 1,082.64 and 714.24

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Solution

The fourth proportional to 725.76, 1,082.64 and 714.24 is: 1,065.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.76 : 1,082.64 = 714.24 : x
  2. Step 2: Convert to fraction form
    725.76/1,082.64 = 714.24/x
  3. Step 3: Cross multiply
    725.76x = 1,082.64 × 714.24
  4. Step 4: Simplify right side
    725.76x = 773,264.79
  5. Step 5: Solve for x
    x = 773,264.79/725.76
  6. Step 6: Final answer
    x = 1,065.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.