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Finding the Fourth Proportional to 1,278.16, 1,764.23 and 781.70

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Solution

The fourth proportional to 1,278.16, 1,764.23 and 781.70 is: 1,078.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.16 : 1,764.23 = 781.70 : x
  2. Step 2: Convert to fraction form
    1,278.16/1,764.23 = 781.70/x
  3. Step 3: Cross multiply
    1,278.16x = 1,764.23 × 781.70
  4. Step 4: Simplify right side
    1,278.16x = 1,379,085.86
  5. Step 5: Solve for x
    x = 1,379,085.86/1,278.16
  6. Step 6: Final answer
    x = 1,078.96

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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.