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Finding the Fourth Proportional to 874.53, 1,206.09 and 524.61

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Solution

The fourth proportional to 874.53, 1,206.09 and 524.61 is: 723.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.53 : 1,206.09 = 524.61 : x
  2. Step 2: Convert to fraction form
    874.53/1,206.09 = 524.61/x
  3. Step 3: Cross multiply
    874.53x = 1,206.09 × 524.61
  4. Step 4: Simplify right side
    874.53x = 632,726.87
  5. Step 5: Solve for x
    x = 632,726.87/874.53
  6. Step 6: Final answer
    x = 723.51

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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.