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Finding the Fourth Proportional to 716.55, 1,073.90 and 701.97

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Solution

The fourth proportional to 716.55, 1,073.90 and 701.97 is: 1,052.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.55 : 1,073.90 = 701.97 : x
  2. Step 2: Convert to fraction form
    716.55/1,073.90 = 701.97/x
  3. Step 3: Cross multiply
    716.55x = 1,073.90 × 701.97
  4. Step 4: Simplify right side
    716.55x = 753,845.58
  5. Step 5: Solve for x
    x = 753,845.58/716.55
  6. Step 6: Final answer
    x = 1,052.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.