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Finding the Fourth Proportional to 1,360.56, 2,039.44 and 538.50

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Solution

The fourth proportional to 1,360.56, 2,039.44 and 538.50 is: 807.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.56 : 2,039.44 = 538.50 : x
  2. Step 2: Convert to fraction form
    1,360.56/2,039.44 = 538.50/x
  3. Step 3: Cross multiply
    1,360.56x = 2,039.44 × 538.50
  4. Step 4: Simplify right side
    1,360.56x = 1,098,238.44
  5. Step 5: Solve for x
    x = 1,098,238.44/1,360.56
  6. Step 6: Final answer
    x = 807.20

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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.