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Finding the Fourth Proportional to 1,799.98, 2,700.42 and 567.52

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Solution

The fourth proportional to 1,799.98, 2,700.42 and 567.52 is: 851.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799.98 : 2,700.42 = 567.52 : x
  2. Step 2: Convert to fraction form
    1,799.98/2,700.42 = 567.52/x
  3. Step 3: Cross multiply
    1,799.98x = 2,700.42 × 567.52
  4. Step 4: Simplify right side
    1,799.98x = 1,532,542.36
  5. Step 5: Solve for x
    x = 1,532,542.36/1,799.98
  6. Step 6: Final answer
    x = 851.42

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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.