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Finding the Fourth Proportional to 1,339.01, 2,008.49 and 365.10

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Solution

The fourth proportional to 1,339.01, 2,008.49 and 365.10 is: 547.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.01 : 2,008.49 = 365.10 : x
  2. Step 2: Convert to fraction form
    1,339.01/2,008.49 = 365.10/x
  3. Step 3: Cross multiply
    1,339.01x = 2,008.49 × 365.10
  4. Step 4: Simplify right side
    1,339.01x = 733,299.70
  5. Step 5: Solve for x
    x = 733,299.70/1,339.01
  6. Step 6: Final answer
    x = 547.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.