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Finding the Fourth Proportional to 708.10, 977.56 and 498.47

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Solution

The fourth proportional to 708.10, 977.56 and 498.47 is: 688.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.10 : 977.56 = 498.47 : x
  2. Step 2: Convert to fraction form
    708.10/977.56 = 498.47/x
  3. Step 3: Cross multiply
    708.10x = 977.56 × 498.47
  4. Step 4: Simplify right side
    708.10x = 487,278.20
  5. Step 5: Solve for x
    x = 487,278.20/708.10
  6. Step 6: Final answer
    x = 688.15

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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.