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Finding the Fourth Proportional to 740.92, 1,104.71 and 679.24

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Solution

The fourth proportional to 740.92, 1,104.71 and 679.24 is: 1,012.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.92 : 1,104.71 = 679.24 : x
  2. Step 2: Convert to fraction form
    740.92/1,104.71 = 679.24/x
  3. Step 3: Cross multiply
    740.92x = 1,104.71 × 679.24
  4. Step 4: Simplify right side
    740.92x = 750,363.22
  5. Step 5: Solve for x
    x = 750,363.22/740.92
  6. Step 6: Final answer
    x = 1,012.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.