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Finding the Fourth Proportional to 1,348.63, 2,023.85 and 732.53

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Solution

The fourth proportional to 1,348.63, 2,023.85 and 732.53 is: 1,099.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.63 : 2,023.85 = 732.53 : x
  2. Step 2: Convert to fraction form
    1,348.63/2,023.85 = 732.53/x
  3. Step 3: Cross multiply
    1,348.63x = 2,023.85 × 732.53
  4. Step 4: Simplify right side
    1,348.63x = 1,482,537.73
  5. Step 5: Solve for x
    x = 1,482,537.73/1,348.63
  6. Step 6: Final answer
    x = 1,099.29

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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.