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Finding the Fourth Proportional to 1,004.14, 1,385.22 and 672.65

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Solution

The fourth proportional to 1,004.14, 1,385.22 and 672.65 is: 927.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.14 : 1,385.22 = 672.65 : x
  2. Step 2: Convert to fraction form
    1,004.14/1,385.22 = 672.65/x
  3. Step 3: Cross multiply
    1,004.14x = 1,385.22 × 672.65
  4. Step 4: Simplify right side
    1,004.14x = 931,768.23
  5. Step 5: Solve for x
    x = 931,768.23/1,004.14
  6. Step 6: Final answer
    x = 927.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.