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Finding the Fourth Proportional to 1,168.78, 1,753.71 and 519.94

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Solution

The fourth proportional to 1,168.78, 1,753.71 and 519.94 is: 780.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.78 : 1,753.71 = 519.94 : x
  2. Step 2: Convert to fraction form
    1,168.78/1,753.71 = 519.94/x
  3. Step 3: Cross multiply
    1,168.78x = 1,753.71 × 519.94
  4. Step 4: Simplify right side
    1,168.78x = 911,823.98
  5. Step 5: Solve for x
    x = 911,823.98/1,168.78
  6. Step 6: Final answer
    x = 780.15

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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.