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Finding the Fourth Proportional to 743.06, 1,112.10 and 613.04

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Solution

The fourth proportional to 743.06, 1,112.10 and 613.04 is: 917.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.06 : 1,112.10 = 613.04 : x
  2. Step 2: Convert to fraction form
    743.06/1,112.10 = 613.04/x
  3. Step 3: Cross multiply
    743.06x = 1,112.10 × 613.04
  4. Step 4: Simplify right side
    743.06x = 681,761.78
  5. Step 5: Solve for x
    x = 681,761.78/743.06
  6. Step 6: Final answer
    x = 917.51

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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.