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Finding the Fourth Proportional to 1,134.26, 1,701.56 and 517.96

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Solution

The fourth proportional to 1,134.26, 1,701.56 and 517.96 is: 777.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.26 : 1,701.56 = 517.96 : x
  2. Step 2: Convert to fraction form
    1,134.26/1,701.56 = 517.96/x
  3. Step 3: Cross multiply
    1,134.26x = 1,701.56 × 517.96
  4. Step 4: Simplify right side
    1,134.26x = 881,340.02
  5. Step 5: Solve for x
    x = 881,340.02/1,134.26
  6. Step 6: Final answer
    x = 777.02

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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.