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Finding the Fourth Proportional to 793.20, 1,189.82 and 534.93

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Solution

The fourth proportional to 793.20, 1,189.82 and 534.93 is: 802.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.20 : 1,189.82 = 534.93 : x
  2. Step 2: Convert to fraction form
    793.20/1,189.82 = 534.93/x
  3. Step 3: Cross multiply
    793.20x = 1,189.82 × 534.93
  4. Step 4: Simplify right side
    793.20x = 636,470.41
  5. Step 5: Solve for x
    x = 636,470.41/793.20
  6. Step 6: Final answer
    x = 802.41

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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.