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Finding the Fourth Proportional to 1,169.78, 1,614.14 and 672.40

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Solution

The fourth proportional to 1,169.78, 1,614.14 and 672.40 is: 927.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.78 : 1,614.14 = 672.40 : x
  2. Step 2: Convert to fraction form
    1,169.78/1,614.14 = 672.40/x
  3. Step 3: Cross multiply
    1,169.78x = 1,614.14 × 672.40
  4. Step 4: Simplify right side
    1,169.78x = 1,085,347.74
  5. Step 5: Solve for x
    x = 1,085,347.74/1,169.78
  6. Step 6: Final answer
    x = 927.82

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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.