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Finding the Fourth Proportional to 1,120.91, 1,679.61 and 709.18

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Solution

The fourth proportional to 1,120.91, 1,679.61 and 709.18 is: 1,062.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.91 : 1,679.61 = 709.18 : x
  2. Step 2: Convert to fraction form
    1,120.91/1,679.61 = 709.18/x
  3. Step 3: Cross multiply
    1,120.91x = 1,679.61 × 709.18
  4. Step 4: Simplify right side
    1,120.91x = 1,191,147.59
  5. Step 5: Solve for x
    x = 1,191,147.59/1,120.91
  6. Step 6: Final answer
    x = 1,062.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.