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Finding the Fourth Proportional to 1,114.28, 1,537.65 and 642.25

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Solution

The fourth proportional to 1,114.28, 1,537.65 and 642.25 is: 886.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.28 : 1,537.65 = 642.25 : x
  2. Step 2: Convert to fraction form
    1,114.28/1,537.65 = 642.25/x
  3. Step 3: Cross multiply
    1,114.28x = 1,537.65 × 642.25
  4. Step 4: Simplify right side
    1,114.28x = 987,555.71
  5. Step 5: Solve for x
    x = 987,555.71/1,114.28
  6. Step 6: Final answer
    x = 886.27

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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.