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Finding the Fourth Proportional to 1,220.42, 1,828.82 and 732.90

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Solution

The fourth proportional to 1,220.42, 1,828.82 and 732.90 is: 1,098.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.42 : 1,828.82 = 732.90 : x
  2. Step 2: Convert to fraction form
    1,220.42/1,828.82 = 732.90/x
  3. Step 3: Cross multiply
    1,220.42x = 1,828.82 × 732.90
  4. Step 4: Simplify right side
    1,220.42x = 1,340,342.18
  5. Step 5: Solve for x
    x = 1,340,342.18/1,220.42
  6. Step 6: Final answer
    x = 1,098.26

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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.