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Finding the Fourth Proportional to 1,114.25, 1,537.61 and 616.86

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Solution

The fourth proportional to 1,114.25, 1,537.61 and 616.86 is: 851.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.25 : 1,537.61 = 616.86 : x
  2. Step 2: Convert to fraction form
    1,114.25/1,537.61 = 616.86/x
  3. Step 3: Cross multiply
    1,114.25x = 1,537.61 × 616.86
  4. Step 4: Simplify right side
    1,114.25x = 948,487.02
  5. Step 5: Solve for x
    x = 948,487.02/1,114.25
  6. Step 6: Final answer
    x = 851.24

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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.