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Finding the Fourth Proportional to 821.97, 1,230.66 and 703.74

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Solution

The fourth proportional to 821.97, 1,230.66 and 703.74 is: 1,053.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.97 : 1,230.66 = 703.74 : x
  2. Step 2: Convert to fraction form
    821.97/1,230.66 = 703.74/x
  3. Step 3: Cross multiply
    821.97x = 1,230.66 × 703.74
  4. Step 4: Simplify right side
    821.97x = 866,064.67
  5. Step 5: Solve for x
    x = 866,064.67/821.97
  6. Step 6: Final answer
    x = 1,053.65

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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.