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Finding the Fourth Proportional to 1,339.31, 2,008.56 and 365.29

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Solution

The fourth proportional to 1,339.31, 2,008.56 and 365.29 is: 547.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.31 : 2,008.56 = 365.29 : x
  2. Step 2: Convert to fraction form
    1,339.31/2,008.56 = 365.29/x
  3. Step 3: Cross multiply
    1,339.31x = 2,008.56 × 365.29
  4. Step 4: Simplify right side
    1,339.31x = 733,696.84
  5. Step 5: Solve for x
    x = 733,696.84/1,339.31
  6. Step 6: Final answer
    x = 547.82

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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.