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Finding the Fourth Proportional to 708.76, 977.92 and 615.34

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Solution

The fourth proportional to 708.76, 977.92 and 615.34 is: 849.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.76 : 977.92 = 615.34 : x
  2. Step 2: Convert to fraction form
    708.76/977.92 = 615.34/x
  3. Step 3: Cross multiply
    708.76x = 977.92 × 615.34
  4. Step 4: Simplify right side
    708.76x = 601,753.29
  5. Step 5: Solve for x
    x = 601,753.29/708.76
  6. Step 6: Final answer
    x = 849.02

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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.