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Finding the Fourth Proportional to 821.84, 1,133.80 and 542.08

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Solution

The fourth proportional to 821.84, 1,133.80 and 542.08 is: 747.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.84 : 1,133.80 = 542.08 : x
  2. Step 2: Convert to fraction form
    821.84/1,133.80 = 542.08/x
  3. Step 3: Cross multiply
    821.84x = 1,133.80 × 542.08
  4. Step 4: Simplify right side
    821.84x = 614,610.30
  5. Step 5: Solve for x
    x = 614,610.30/821.84
  6. Step 6: Final answer
    x = 747.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.