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Finding the Fourth Proportional to 807.57, 1,211.00 and 396.63

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Solution

The fourth proportional to 807.57, 1,211.00 and 396.63 is: 594.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.57 : 1,211.00 = 396.63 : x
  2. Step 2: Convert to fraction form
    807.57/1,211.00 = 396.63/x
  3. Step 3: Cross multiply
    807.57x = 1,211.00 × 396.63
  4. Step 4: Simplify right side
    807.57x = 480,316.95
  5. Step 5: Solve for x
    x = 480,316.95/807.57
  6. Step 6: Final answer
    x = 594.77

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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.