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Finding the Fourth Proportional to 1,360.43, 2,040.57 and 840.53

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Solution

The fourth proportional to 1,360.43, 2,040.57 and 840.53 is: 1,260.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.43 : 2,040.57 = 840.53 : x
  2. Step 2: Convert to fraction form
    1,360.43/2,040.57 = 840.53/x
  3. Step 3: Cross multiply
    1,360.43x = 2,040.57 × 840.53
  4. Step 4: Simplify right side
    1,360.43x = 1,715,160.30
  5. Step 5: Solve for x
    x = 1,715,160.30/1,360.43
  6. Step 6: Final answer
    x = 1,260.75

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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.