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Finding the Fourth Proportional to 874.13, 1,206.36 and 524.88

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Solution

The fourth proportional to 874.13, 1,206.36 and 524.88 is: 724.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.13 : 1,206.36 = 524.88 : x
  2. Step 2: Convert to fraction form
    874.13/1,206.36 = 524.88/x
  3. Step 3: Cross multiply
    874.13x = 1,206.36 × 524.88
  4. Step 4: Simplify right side
    874.13x = 633,194.24
  5. Step 5: Solve for x
    x = 633,194.24/874.13
  6. Step 6: Final answer
    x = 724.37

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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.