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Finding the Fourth Proportional to 874.14, 1,206.34 and 501.08

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Solution

The fourth proportional to 874.14, 1,206.34 and 501.08 is: 691.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.14 : 1,206.34 = 501.08 : x
  2. Step 2: Convert to fraction form
    874.14/1,206.34 = 501.08/x
  3. Step 3: Cross multiply
    874.14x = 1,206.34 × 501.08
  4. Step 4: Simplify right side
    874.14x = 604,472.85
  5. Step 5: Solve for x
    x = 604,472.85/874.14
  6. Step 6: Final answer
    x = 691.51

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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.