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Finding the Fourth Proportional to 807.41, 1,211.15 and 482.06

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Solution

The fourth proportional to 807.41, 1,211.15 and 482.06 is: 723.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.41 : 1,211.15 = 482.06 : x
  2. Step 2: Convert to fraction form
    807.41/1,211.15 = 482.06/x
  3. Step 3: Cross multiply
    807.41x = 1,211.15 × 482.06
  4. Step 4: Simplify right side
    807.41x = 583,851.20
  5. Step 5: Solve for x
    x = 583,851.20/807.41
  6. Step 6: Final answer
    x = 723.11

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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.