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Finding the Fourth Proportional to 822.20, 1,135.05 and 542.84

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Solution

The fourth proportional to 822.20, 1,135.05 and 542.84 is: 749.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.20 : 1,135.05 = 542.84 : x
  2. Step 2: Convert to fraction form
    822.20/1,135.05 = 542.84/x
  3. Step 3: Cross multiply
    822.20x = 1,135.05 × 542.84
  4. Step 4: Simplify right side
    822.20x = 616,150.54
  5. Step 5: Solve for x
    x = 616,150.54/822.20
  6. Step 6: Final answer
    x = 749.39

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Double scale
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1.5x scale

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.