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Finding the Fourth Proportional to 754.86, 1,132.26 and 523.08

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Solution

The fourth proportional to 754.86, 1,132.26 and 523.08 is: 784.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.86 : 1,132.26 = 523.08 : x
  2. Step 2: Convert to fraction form
    754.86/1,132.26 = 523.08/x
  3. Step 3: Cross multiply
    754.86x = 1,132.26 × 523.08
  4. Step 4: Simplify right side
    754.86x = 592,262.56
  5. Step 5: Solve for x
    x = 592,262.56/754.86
  6. Step 6: Final answer
    x = 784.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.