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Finding the Fourth Proportional to 708.80, 1,062.04 and 451.76

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Solution

The fourth proportional to 708.80, 1,062.04 and 451.76 is: 676.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.80 : 1,062.04 = 451.76 : x
  2. Step 2: Convert to fraction form
    708.80/1,062.04 = 451.76/x
  3. Step 3: Cross multiply
    708.80x = 1,062.04 × 451.76
  4. Step 4: Simplify right side
    708.80x = 479,787.19
  5. Step 5: Solve for x
    x = 479,787.19/708.80
  6. Step 6: Final answer
    x = 676.90

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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.