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Finding the Fourth Proportional to 1,224.88, 1,834.35 and 575.80

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Solution

The fourth proportional to 1,224.88, 1,834.35 and 575.80 is: 862.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.88 : 1,834.35 = 575.80 : x
  2. Step 2: Convert to fraction form
    1,224.88/1,834.35 = 575.80/x
  3. Step 3: Cross multiply
    1,224.88x = 1,834.35 × 575.80
  4. Step 4: Simplify right side
    1,224.88x = 1,056,218.73
  5. Step 5: Solve for x
    x = 1,056,218.73/1,224.88
  6. Step 6: Final answer
    x = 862.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.