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Finding the Fourth Proportional to 1,167.07, 1,749.38 and 517.65

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Solution

The fourth proportional to 1,167.07, 1,749.38 and 517.65 is: 775.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.07 : 1,749.38 = 517.65 : x
  2. Step 2: Convert to fraction form
    1,167.07/1,749.38 = 517.65/x
  3. Step 3: Cross multiply
    1,167.07x = 1,749.38 × 517.65
  4. Step 4: Simplify right side
    1,167.07x = 905,566.56
  5. Step 5: Solve for x
    x = 905,566.56/1,167.07
  6. Step 6: Final answer
    x = 775.93

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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.