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Finding the Fourth Proportional to 792.54, 1,187.82 and 549

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Solution

The fourth proportional to 792.54, 1,187.82 and 549 is: 822.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.54 : 1,187.82 = 549 : x
  2. Step 2: Convert to fraction form
    792.54/1,187.82 = 549/x
  3. Step 3: Cross multiply
    792.54x = 1,187.82 × 549
  4. Step 4: Simplify right side
    792.54x = 652,113.18
  5. Step 5: Solve for x
    x = 652,113.18/792.54
  6. Step 6: Final answer
    x = 822.81

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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.