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Finding the Fourth Proportional to 874.78, 1,207.29 and 501.82

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Solution

The fourth proportional to 874.78, 1,207.29 and 501.82 is: 692.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.78 : 1,207.29 = 501.82 : x
  2. Step 2: Convert to fraction form
    874.78/1,207.29 = 501.82/x
  3. Step 3: Cross multiply
    874.78x = 1,207.29 × 501.82
  4. Step 4: Simplify right side
    874.78x = 605,842.27
  5. Step 5: Solve for x
    x = 605,842.27/874.78
  6. Step 6: Final answer
    x = 692.57

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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.