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Finding the Fourth Proportional to 1,114.14, 1,537.50 and 672.06

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Solution

The fourth proportional to 1,114.14, 1,537.50 and 672.06 is: 927.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.14 : 1,537.50 = 672.06 : x
  2. Step 2: Convert to fraction form
    1,114.14/1,537.50 = 672.06/x
  3. Step 3: Cross multiply
    1,114.14x = 1,537.50 × 672.06
  4. Step 4: Simplify right side
    1,114.14x = 1,033,292.25
  5. Step 5: Solve for x
    x = 1,033,292.25/1,114.14
  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.