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Finding the Fourth Proportional to 708.69, 977.55 and 487.25

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Solution

The fourth proportional to 708.69, 977.55 and 487.25 is: 672.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.69 : 977.55 = 487.25 : x
  2. Step 2: Convert to fraction form
    708.69/977.55 = 487.25/x
  3. Step 3: Cross multiply
    708.69x = 977.55 × 487.25
  4. Step 4: Simplify right side
    708.69x = 476,308.80
  5. Step 5: Solve for x
    x = 476,308.80/708.69
  6. Step 6: Final answer
    x = 672.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.