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Finding the Fourth Proportional to 1,117.38, 1,542 and 613.23

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Solution

The fourth proportional to 1,117.38, 1,542 and 613.23 is: 846.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.38 : 1,542 = 613.23 : x
  2. Step 2: Convert to fraction form
    1,117.38/1,542 = 613.23/x
  3. Step 3: Cross multiply
    1,117.38x = 1,542 × 613.23
  4. Step 4: Simplify right side
    1,117.38x = 945,600.66
  5. Step 5: Solve for x
    x = 945,600.66/1,117.38
  6. Step 6: Final answer
    x = 846.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.