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Finding the Fourth Proportional to 789.98, 1,182.58 and 542.66

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Solution

The fourth proportional to 789.98, 1,182.58 and 542.66 is: 812.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.98 : 1,182.58 = 542.66 : x
  2. Step 2: Convert to fraction form
    789.98/1,182.58 = 542.66/x
  3. Step 3: Cross multiply
    789.98x = 1,182.58 × 542.66
  4. Step 4: Simplify right side
    789.98x = 641,738.86
  5. Step 5: Solve for x
    x = 641,738.86/789.98
  6. Step 6: Final answer
    x = 812.35

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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.