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Finding the Fourth Proportional to 793.74, 1,189.58 and 549.75

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Solution

The fourth proportional to 793.74, 1,189.58 and 549.75 is: 823.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.74 : 1,189.58 = 549.75 : x
  2. Step 2: Convert to fraction form
    793.74/1,189.58 = 549.75/x
  3. Step 3: Cross multiply
    793.74x = 1,189.58 × 549.75
  4. Step 4: Simplify right side
    793.74x = 653,971.61
  5. Step 5: Solve for x
    x = 653,971.61/793.74
  6. Step 6: Final answer
    x = 823.91

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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.