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Finding the Fourth Proportional to 771.20, 1,156.80 and 686.15

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Solution

The fourth proportional to 771.20, 1,156.80 and 686.15 is: 1,029.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.20 : 1,156.80 = 686.15 : x
  2. Step 2: Convert to fraction form
    771.20/1,156.80 = 686.15/x
  3. Step 3: Cross multiply
    771.20x = 1,156.80 × 686.15
  4. Step 4: Simplify right side
    771.20x = 793,738.32
  5. Step 5: Solve for x
    x = 793,738.32/771.20
  6. Step 6: Final answer
    x = 1,029.23

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