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Finding the Fourth Proportional to 556.13, 834.80 and 542.76

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Solution

The fourth proportional to 556.13, 834.80 and 542.76 is: 814.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.13 : 834.80 = 542.76 : x
  2. Step 2: Convert to fraction form
    556.13/834.80 = 542.76/x
  3. Step 3: Cross multiply
    556.13x = 834.80 × 542.76
  4. Step 4: Simplify right side
    556.13x = 453,096.05
  5. Step 5: Solve for x
    x = 453,096.05/556.13
  6. Step 6: Final answer
    x = 814.73

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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.