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Finding the Fourth Proportional to 916.43, 1,372.19 and 550.71

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Solution

The fourth proportional to 916.43, 1,372.19 and 550.71 is: 824.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.43 : 1,372.19 = 550.71 : x
  2. Step 2: Convert to fraction form
    916.43/1,372.19 = 550.71/x
  3. Step 3: Cross multiply
    916.43x = 1,372.19 × 550.71
  4. Step 4: Simplify right side
    916.43x = 755,676.00
  5. Step 5: Solve for x
    x = 755,676.00/916.43
  6. Step 6: Final answer
    x = 824.59

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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.