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Finding the Fourth Proportional to 1,114.13, 1,537.79 and 642.08

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Solution

The fourth proportional to 1,114.13, 1,537.79 and 642.08 is: 886.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.13 : 1,537.79 = 642.08 : x
  2. Step 2: Convert to fraction form
    1,114.13/1,537.79 = 642.08/x
  3. Step 3: Cross multiply
    1,114.13x = 1,537.79 × 642.08
  4. Step 4: Simplify right side
    1,114.13x = 987,373.30
  5. Step 5: Solve for x
    x = 987,373.30/1,114.13
  6. Step 6: Final answer
    x = 886.23

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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.