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Finding the Fourth Proportional to 1,114.22, 1,537.62 and 641.95

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Solution

The fourth proportional to 1,114.22, 1,537.62 and 641.95 is: 885.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.22 : 1,537.62 = 641.95 : x
  2. Step 2: Convert to fraction form
    1,114.22/1,537.62 = 641.95/x
  3. Step 3: Cross multiply
    1,114.22x = 1,537.62 × 641.95
  4. Step 4: Simplify right side
    1,114.22x = 987,064.26
  5. Step 5: Solve for x
    x = 987,064.26/1,114.22
  6. Step 6: Final answer
    x = 885.88

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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.