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Finding the Fourth Proportional to 1,114.44, 1,538.01 and 672.32

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Solution

The fourth proportional to 1,114.44, 1,538.01 and 672.32 is: 927.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.44 : 1,538.01 = 672.32 : x
  2. Step 2: Convert to fraction form
    1,114.44/1,538.01 = 672.32/x
  3. Step 3: Cross multiply
    1,114.44x = 1,538.01 × 672.32
  4. Step 4: Simplify right side
    1,114.44x = 1,034,023.83
  5. Step 5: Solve for x
    x = 1,034,023.83/1,114.44
  6. Step 6: Final answer
    x = 927.84

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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.