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Finding the Fourth Proportional to 874.68, 1,207.50 and 579.80

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Solution

The fourth proportional to 874.68, 1,207.50 and 579.80 is: 800.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.68 : 1,207.50 = 579.80 : x
  2. Step 2: Convert to fraction form
    874.68/1,207.50 = 579.80/x
  3. Step 3: Cross multiply
    874.68x = 1,207.50 × 579.80
  4. Step 4: Simplify right side
    874.68x = 700,108.50
  5. Step 5: Solve for x
    x = 700,108.50/874.68
  6. Step 6: Final answer
    x = 800.42

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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.