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Finding the Fourth Proportional to 709.26, 974.68 and 677.16

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Solution

The fourth proportional to 709.26, 974.68 and 677.16 is: 930.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.26 : 974.68 = 677.16 : x
  2. Step 2: Convert to fraction form
    709.26/974.68 = 677.16/x
  3. Step 3: Cross multiply
    709.26x = 974.68 × 677.16
  4. Step 4: Simplify right side
    709.26x = 660,016.42
  5. Step 5: Solve for x
    x = 660,016.42/709.26
  6. Step 6: Final answer
    x = 930.58

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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.