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Finding the Fourth Proportional to 821.52, 1,133.88 and 542.22

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Solution

The fourth proportional to 821.52, 1,133.88 and 542.22 is: 748.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.52 : 1,133.88 = 542.22 : x
  2. Step 2: Convert to fraction form
    821.52/1,133.88 = 542.22/x
  3. Step 3: Cross multiply
    821.52x = 1,133.88 × 542.22
  4. Step 4: Simplify right side
    821.52x = 614,812.41
  5. Step 5: Solve for x
    x = 614,812.41/821.52
  6. Step 6: Final answer
    x = 748.38

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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.