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Finding the Fourth Proportional to 1,114.29, 1,537.80 and 642.23

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Solution

The fourth proportional to 1,114.29, 1,537.80 and 642.23 is: 886.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.29 : 1,537.80 = 642.23 : x
  2. Step 2: Convert to fraction form
    1,114.29/1,537.80 = 642.23/x
  3. Step 3: Cross multiply
    1,114.29x = 1,537.80 × 642.23
  4. Step 4: Simplify right side
    1,114.29x = 987,613.61
  5. Step 5: Solve for x
    x = 987,613.61/1,114.29
  6. Step 6: Final answer
    x = 886.32

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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.