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Finding the Fourth Proportional to 708.58, 977.88 and 487.63

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Solution

The fourth proportional to 708.58, 977.88 and 487.63 is: 672.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.58 : 977.88 = 487.63 : x
  2. Step 2: Convert to fraction form
    708.58/977.88 = 487.63/x
  3. Step 3: Cross multiply
    708.58x = 977.88 × 487.63
  4. Step 4: Simplify right side
    708.58x = 476,843.62
  5. Step 5: Solve for x
    x = 476,843.62/708.58
  6. Step 6: Final answer
    x = 672.96

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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.