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Finding the Fourth Proportional to 1,114.11, 1,536.84 and 672.12

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Solution

The fourth proportional to 1,114.11, 1,536.84 and 672.12 is: 927.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.11 : 1,536.84 = 672.12 : x
  2. Step 2: Convert to fraction form
    1,114.11/1,536.84 = 672.12/x
  3. Step 3: Cross multiply
    1,114.11x = 1,536.84 × 672.12
  4. Step 4: Simplify right side
    1,114.11x = 1,032,940.90
  5. Step 5: Solve for x
    x = 1,032,940.90/1,114.11
  6. Step 6: Final answer
    x = 927.14

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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.