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Finding the Fourth Proportional to 806.48, 1,209.48 and 372.80

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Solution

The fourth proportional to 806.48, 1,209.48 and 372.80 is: 559.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.48 : 1,209.48 = 372.80 : x
  2. Step 2: Convert to fraction form
    806.48/1,209.48 = 372.80/x
  3. Step 3: Cross multiply
    806.48x = 1,209.48 × 372.80
  4. Step 4: Simplify right side
    806.48x = 450,894.14
  5. Step 5: Solve for x
    x = 450,894.14/806.48
  6. Step 6: Final answer
    x = 559.09

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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.