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Finding the Fourth Proportional to 708.71, 977.55 and 487.76

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Solution

The fourth proportional to 708.71, 977.55 and 487.76 is: 672.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.71 : 977.55 = 487.76 : x
  2. Step 2: Convert to fraction form
    708.71/977.55 = 487.76/x
  3. Step 3: Cross multiply
    708.71x = 977.55 × 487.76
  4. Step 4: Simplify right side
    708.71x = 476,809.79
  5. Step 5: Solve for x
    x = 476,809.79/708.71
  6. Step 6: Final answer
    x = 672.79

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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.