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Finding the Fourth Proportional to 1,215.27, 1,822.37 and 753.03

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Solution

The fourth proportional to 1,215.27, 1,822.37 and 753.03 is: 1,129.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.27 : 1,822.37 = 753.03 : x
  2. Step 2: Convert to fraction form
    1,215.27/1,822.37 = 753.03/x
  3. Step 3: Cross multiply
    1,215.27x = 1,822.37 × 753.03
  4. Step 4: Simplify right side
    1,215.27x = 1,372,295.52
  5. Step 5: Solve for x
    x = 1,372,295.52/1,215.27
  6. Step 6: Final answer
    x = 1,129.21

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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.