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Finding the Fourth Proportional to 712.58, 1,062.57 and 687.20

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Solution

The fourth proportional to 712.58, 1,062.57 and 687.20 is: 1,024.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.58 : 1,062.57 = 687.20 : x
  2. Step 2: Convert to fraction form
    712.58/1,062.57 = 687.20/x
  3. Step 3: Cross multiply
    712.58x = 1,062.57 × 687.20
  4. Step 4: Simplify right side
    712.58x = 730,198.10
  5. Step 5: Solve for x
    x = 730,198.10/712.58
  6. Step 6: Final answer
    x = 1,024.72

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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.