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Finding the Fourth Proportional to 806.53, 1,209.99 and 574.85

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Solution

The fourth proportional to 806.53, 1,209.99 and 574.85 is: 862.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.53 : 1,209.99 = 574.85 : x
  2. Step 2: Convert to fraction form
    806.53/1,209.99 = 574.85/x
  3. Step 3: Cross multiply
    806.53x = 1,209.99 × 574.85
  4. Step 4: Simplify right side
    806.53x = 695,559.73
  5. Step 5: Solve for x
    x = 695,559.73/806.53
  6. Step 6: Final answer
    x = 862.41

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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.