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Finding the Fourth Proportional to 966.36, 1,334.61 and 781.86

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Solution

The fourth proportional to 966.36, 1,334.61 and 781.86 is: 1,079.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.36 : 1,334.61 = 781.86 : x
  2. Step 2: Convert to fraction form
    966.36/1,334.61 = 781.86/x
  3. Step 3: Cross multiply
    966.36x = 1,334.61 × 781.86
  4. Step 4: Simplify right side
    966.36x = 1,043,478.17
  5. Step 5: Solve for x
    x = 1,043,478.17/966.36
  6. Step 6: Final answer
    x = 1,079.80

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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.