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Finding the Fourth Proportional to 874.59, 1,206.36 and 525.27

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Solution

The fourth proportional to 874.59, 1,206.36 and 525.27 is: 724.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.59 : 1,206.36 = 525.27 : x
  2. Step 2: Convert to fraction form
    874.59/1,206.36 = 525.27/x
  3. Step 3: Cross multiply
    874.59x = 1,206.36 × 525.27
  4. Step 4: Simplify right side
    874.59x = 633,664.72
  5. Step 5: Solve for x
    x = 633,664.72/874.59
  6. Step 6: Final answer
    x = 724.53

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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.