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Finding the Fourth Proportional to 874.92, 1,207.44 and 501.94

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Solution

The fourth proportional to 874.92, 1,207.44 and 501.94 is: 692.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.92 : 1,207.44 = 501.94 : x
  2. Step 2: Convert to fraction form
    874.92/1,207.44 = 501.94/x
  3. Step 3: Cross multiply
    874.92x = 1,207.44 × 501.94
  4. Step 4: Simplify right side
    874.92x = 606,062.43
  5. Step 5: Solve for x
    x = 606,062.43/874.92
  6. Step 6: Final answer
    x = 692.71

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Why These Related Problems?

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