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Finding the Fourth Proportional to 708.74, 977.12 and 487.30

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Solution

The fourth proportional to 708.74, 977.12 and 487.30 is: 671.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.74 : 977.12 = 487.30 : x
  2. Step 2: Convert to fraction form
    708.74/977.12 = 487.30/x
  3. Step 3: Cross multiply
    708.74x = 977.12 × 487.30
  4. Step 4: Simplify right side
    708.74x = 476,150.58
  5. Step 5: Solve for x
    x = 476,150.58/708.74
  6. Step 6: Final answer
    x = 671.83

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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.