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Finding the Fourth Proportional to 716.14, 981.58 and 713.04

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Solution

The fourth proportional to 716.14, 981.58 and 713.04 is: 977.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.14 : 981.58 = 713.04 : x
  2. Step 2: Convert to fraction form
    716.14/981.58 = 713.04/x
  3. Step 3: Cross multiply
    716.14x = 981.58 × 713.04
  4. Step 4: Simplify right side
    716.14x = 699,905.80
  5. Step 5: Solve for x
    x = 699,905.80/716.14
  6. Step 6: Final answer
    x = 977.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.