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Finding the Fourth Proportional to 874.14, 1,206.24 and 501.09

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Solution

The fourth proportional to 874.14, 1,206.24 and 501.09 is: 691.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.14 : 1,206.24 = 501.09 : x
  2. Step 2: Convert to fraction form
    874.14/1,206.24 = 501.09/x
  3. Step 3: Cross multiply
    874.14x = 1,206.24 × 501.09
  4. Step 4: Simplify right side
    874.14x = 604,434.80
  5. Step 5: Solve for x
    x = 604,434.80/874.14
  6. Step 6: Final answer
    x = 691.46

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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.