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Finding the Fourth Proportional to 708.16, 977.16 and 487.66

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Solution

The fourth proportional to 708.16, 977.16 and 487.66 is: 672.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.16 : 977.16 = 487.66 : x
  2. Step 2: Convert to fraction form
    708.16/977.16 = 487.66/x
  3. Step 3: Cross multiply
    708.16x = 977.16 × 487.66
  4. Step 4: Simplify right side
    708.16x = 476,521.85
  5. Step 5: Solve for x
    x = 476,521.85/708.16
  6. Step 6: Final answer
    x = 672.90

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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.