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Finding the Fourth Proportional to 1,339.56, 2,009.28 and 365.68

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Solution

The fourth proportional to 1,339.56, 2,009.28 and 365.68 is: 548.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.56 : 2,009.28 = 365.68 : x
  2. Step 2: Convert to fraction form
    1,339.56/2,009.28 = 365.68/x
  3. Step 3: Cross multiply
    1,339.56x = 2,009.28 × 365.68
  4. Step 4: Simplify right side
    1,339.56x = 734,753.51
  5. Step 5: Solve for x
    x = 734,753.51/1,339.56
  6. Step 6: Final answer
    x = 548.50

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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.