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Finding the Fourth Proportional to 1,799.04, 2,698.56 and 566.57

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Solution

The fourth proportional to 1,799.04, 2,698.56 and 566.57 is: 849.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799.04 : 2,698.56 = 566.57 : x
  2. Step 2: Convert to fraction form
    1,799.04/2,698.56 = 566.57/x
  3. Step 3: Cross multiply
    1,799.04x = 2,698.56 × 566.57
  4. Step 4: Simplify right side
    1,799.04x = 1,528,909.65
  5. Step 5: Solve for x
    x = 1,528,909.65/1,799.04
  6. Step 6: Final answer
    x = 849.85

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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.