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Finding the Fourth Proportional to 1,339.52, 2,010.04 and 723.20

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Solution

The fourth proportional to 1,339.52, 2,010.04 and 723.20 is: 1,085.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.52 : 2,010.04 = 723.20 : x
  2. Step 2: Convert to fraction form
    1,339.52/2,010.04 = 723.20/x
  3. Step 3: Cross multiply
    1,339.52x = 2,010.04 × 723.20
  4. Step 4: Simplify right side
    1,339.52x = 1,453,660.93
  5. Step 5: Solve for x
    x = 1,453,660.93/1,339.52
  6. Step 6: Final answer
    x = 1,085.21

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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.