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Finding the Fourth Proportional to 1,108.76, 1,529.31 and 710.43

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Solution

The fourth proportional to 1,108.76, 1,529.31 and 710.43 is: 979.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.76 : 1,529.31 = 710.43 : x
  2. Step 2: Convert to fraction form
    1,108.76/1,529.31 = 710.43/x
  3. Step 3: Cross multiply
    1,108.76x = 1,529.31 × 710.43
  4. Step 4: Simplify right side
    1,108.76x = 1,086,469.39
  5. Step 5: Solve for x
    x = 1,086,469.39/1,108.76
  6. Step 6: Final answer
    x = 979.89

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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.