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Finding the Fourth Proportional to 874.24, 1,206.54 and 501.14

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Solution

The fourth proportional to 874.24, 1,206.54 and 501.14 is: 691.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.24 : 1,206.54 = 501.14 : x
  2. Step 2: Convert to fraction form
    874.24/1,206.54 = 501.14/x
  3. Step 3: Cross multiply
    874.24x = 1,206.54 × 501.14
  4. Step 4: Simplify right side
    874.24x = 604,648.47
  5. Step 5: Solve for x
    x = 604,648.47/874.24
  6. Step 6: Final answer
    x = 691.63

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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.