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Finding the Fourth Proportional to 916.78, 1,371.68 and 806.22

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Solution

The fourth proportional to 916.78, 1,371.68 and 806.22 is: 1,206.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.78 : 1,371.68 = 806.22 : x
  2. Step 2: Convert to fraction form
    916.78/1,371.68 = 806.22/x
  3. Step 3: Cross multiply
    916.78x = 1,371.68 × 806.22
  4. Step 4: Simplify right side
    916.78x = 1,105,864.96
  5. Step 5: Solve for x
    x = 1,105,864.96/916.78
  6. Step 6: Final answer
    x = 1,206.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.