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Finding the Fourth Proportional to 821.93, 1,229.70 and 752.98

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Solution

The fourth proportional to 821.93, 1,229.70 and 752.98 is: 1,126.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.93 : 1,229.70 = 752.98 : x
  2. Step 2: Convert to fraction form
    821.93/1,229.70 = 752.98/x
  3. Step 3: Cross multiply
    821.93x = 1,229.70 × 752.98
  4. Step 4: Simplify right side
    821.93x = 925,939.51
  5. Step 5: Solve for x
    x = 925,939.51/821.93
  6. Step 6: Final answer
    x = 1,126.54

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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.