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Finding the Fourth Proportional to 1,114.29, 1,537.70 and 616.93

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Solution

The fourth proportional to 1,114.29, 1,537.70 and 616.93 is: 851.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.29 : 1,537.70 = 616.93 : x
  2. Step 2: Convert to fraction form
    1,114.29/1,537.70 = 616.93/x
  3. Step 3: Cross multiply
    1,114.29x = 1,537.70 × 616.93
  4. Step 4: Simplify right side
    1,114.29x = 948,653.26
  5. Step 5: Solve for x
    x = 948,653.26/1,114.29
  6. Step 6: Final answer
    x = 851.35

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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.