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Finding the Fourth Proportional to 701.47, 967.57 and 677.71

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Solution

The fourth proportional to 701.47, 967.57 and 677.71 is: 934.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.47 : 967.57 = 677.71 : x
  2. Step 2: Convert to fraction form
    701.47/967.57 = 677.71/x
  3. Step 3: Cross multiply
    701.47x = 967.57 × 677.71
  4. Step 4: Simplify right side
    701.47x = 655,731.86
  5. Step 5: Solve for x
    x = 655,731.86/701.47
  6. Step 6: Final answer
    x = 934.80

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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.