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Finding the Fourth Proportional to 1,434.17, 1,979.31 and 874.97

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Solution

The fourth proportional to 1,434.17, 1,979.31 and 874.97 is: 1,207.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.17 : 1,979.31 = 874.97 : x
  2. Step 2: Convert to fraction form
    1,434.17/1,979.31 = 874.97/x
  3. Step 3: Cross multiply
    1,434.17x = 1,979.31 × 874.97
  4. Step 4: Simplify right side
    1,434.17x = 1,731,826.97
  5. Step 5: Solve for x
    x = 1,731,826.97/1,434.17
  6. Step 6: Final answer
    x = 1,207.55

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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.