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Finding the Fourth Proportional to 821.80, 1,229.90 and 497.40

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Solution

The fourth proportional to 821.80, 1,229.90 and 497.40 is: 744.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.80 : 1,229.90 = 497.40 : x
  2. Step 2: Convert to fraction form
    821.80/1,229.90 = 497.40/x
  3. Step 3: Cross multiply
    821.80x = 1,229.90 × 497.40
  4. Step 4: Simplify right side
    821.80x = 611,752.26
  5. Step 5: Solve for x
    x = 611,752.26/821.80
  6. Step 6: Final answer
    x = 744.41

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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.