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Finding the Fourth Proportional to 834.76, 1,250.77 and 542.25

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Solution

The fourth proportional to 834.76, 1,250.77 and 542.25 is: 812.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.76 : 1,250.77 = 542.25 : x
  2. Step 2: Convert to fraction form
    834.76/1,250.77 = 542.25/x
  3. Step 3: Cross multiply
    834.76x = 1,250.77 × 542.25
  4. Step 4: Simplify right side
    834.76x = 678,222.42
  5. Step 5: Solve for x
    x = 678,222.42/834.76
  6. Step 6: Final answer
    x = 812.48

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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.