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Finding the Fourth Proportional to 701.12, 1,043.40 and 677.76

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Solution

The fourth proportional to 701.12, 1,043.40 and 677.76 is: 1,008.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.12 : 1,043.40 = 677.76 : x
  2. Step 2: Convert to fraction form
    701.12/1,043.40 = 677.76/x
  3. Step 3: Cross multiply
    701.12x = 1,043.40 × 677.76
  4. Step 4: Simplify right side
    701.12x = 707,168.33
  5. Step 5: Solve for x
    x = 707,168.33/701.12
  6. Step 6: Final answer
    x = 1,008.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.