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Finding the Fourth Proportional to 807.95, 1,212.74 and 442.91

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Solution

The fourth proportional to 807.95, 1,212.74 and 442.91 is: 664.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.95 : 1,212.74 = 442.91 : x
  2. Step 2: Convert to fraction form
    807.95/1,212.74 = 442.91/x
  3. Step 3: Cross multiply
    807.95x = 1,212.74 × 442.91
  4. Step 4: Simplify right side
    807.95x = 537,134.67
  5. Step 5: Solve for x
    x = 537,134.67/807.95
  6. Step 6: Final answer
    x = 664.81

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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.