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Finding the Fourth Proportional to 1,114.12, 1,537.28 and 672.14

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Solution

The fourth proportional to 1,114.12, 1,537.28 and 672.14 is: 927.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.12 : 1,537.28 = 672.14 : x
  2. Step 2: Convert to fraction form
    1,114.12/1,537.28 = 672.14/x
  3. Step 3: Cross multiply
    1,114.12x = 1,537.28 × 672.14
  4. Step 4: Simplify right side
    1,114.12x = 1,033,267.38
  5. Step 5: Solve for x
    x = 1,033,267.38/1,114.12
  6. Step 6: Final answer
    x = 927.43

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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.