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Finding the Fourth Proportional to 1,166.31, 1,749.54 and 517.05

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Solution

The fourth proportional to 1,166.31, 1,749.54 and 517.05 is: 775.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.31 : 1,749.54 = 517.05 : x
  2. Step 2: Convert to fraction form
    1,166.31/1,749.54 = 517.05/x
  3. Step 3: Cross multiply
    1,166.31x = 1,749.54 × 517.05
  4. Step 4: Simplify right side
    1,166.31x = 904,599.66
  5. Step 5: Solve for x
    x = 904,599.66/1,166.31
  6. Step 6: Final answer
    x = 775.61

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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.