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Finding the Fourth Proportional to 1,339.03, 2,008.57 and 365.16

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Solution

The fourth proportional to 1,339.03, 2,008.57 and 365.16 is: 547.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.03 : 2,008.57 = 365.16 : x
  2. Step 2: Convert to fraction form
    1,339.03/2,008.57 = 365.16/x
  3. Step 3: Cross multiply
    1,339.03x = 2,008.57 × 365.16
  4. Step 4: Simplify right side
    1,339.03x = 733,446.45
  5. Step 5: Solve for x
    x = 733,446.45/1,339.03
  6. Step 6: Final answer
    x = 547.74

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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.