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Finding the Fourth Proportional to 1,799.14, 2,699.00 and 532.82

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Solution

The fourth proportional to 1,799.14, 2,699.00 and 532.82 is: 799.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799.14 : 2,699.00 = 532.82 : x
  2. Step 2: Convert to fraction form
    1,799.14/2,699.00 = 532.82/x
  3. Step 3: Cross multiply
    1,799.14x = 2,699.00 × 532.82
  4. Step 4: Simplify right side
    1,799.14x = 1,438,065.02
  5. Step 5: Solve for x
    x = 1,438,065.02/1,799.14
  6. Step 6: Final answer
    x = 799.31

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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.