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Finding the Fourth Proportional to 1,166.47, 1,749.15 and 679.66

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Solution

The fourth proportional to 1,166.47, 1,749.15 and 679.66 is: 1,019.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.47 : 1,749.15 = 679.66 : x
  2. Step 2: Convert to fraction form
    1,166.47/1,749.15 = 679.66/x
  3. Step 3: Cross multiply
    1,166.47x = 1,749.15 × 679.66
  4. Step 4: Simplify right side
    1,166.47x = 1,188,827.29
  5. Step 5: Solve for x
    x = 1,188,827.29/1,166.47
  6. Step 6: Final answer
    x = 1,019.17

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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.