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Finding the Fourth Proportional to 1,117.44, 1,542.09 and 613.34

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Solution

The fourth proportional to 1,117.44, 1,542.09 and 613.34 is: 846.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.44 : 1,542.09 = 613.34 : x
  2. Step 2: Convert to fraction form
    1,117.44/1,542.09 = 613.34/x
  3. Step 3: Cross multiply
    1,117.44x = 1,542.09 × 613.34
  4. Step 4: Simplify right side
    1,117.44x = 945,825.48
  5. Step 5: Solve for x
    x = 945,825.48/1,117.44
  6. Step 6: Final answer
    x = 846.42

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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.