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Finding the Fourth Proportional to 1,177.78, 1,766.36 and 560.26

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Solution

The fourth proportional to 1,177.78, 1,766.36 and 560.26 is: 840.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.78 : 1,766.36 = 560.26 : x
  2. Step 2: Convert to fraction form
    1,177.78/1,766.36 = 560.26/x
  3. Step 3: Cross multiply
    1,177.78x = 1,766.36 × 560.26
  4. Step 4: Simplify right side
    1,177.78x = 989,620.85
  5. Step 5: Solve for x
    x = 989,620.85/1,177.78
  6. Step 6: Final answer
    x = 840.24

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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.