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Finding the Fourth Proportional to 1,348.76, 2,023.17 and 424.30

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Solution

The fourth proportional to 1,348.76, 2,023.17 and 424.30 is: 636.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.76 : 2,023.17 = 424.30 : x
  2. Step 2: Convert to fraction form
    1,348.76/2,023.17 = 424.30/x
  3. Step 3: Cross multiply
    1,348.76x = 2,023.17 × 424.30
  4. Step 4: Simplify right side
    1,348.76x = 858,431.03
  5. Step 5: Solve for x
    x = 858,431.03/1,348.76
  6. Step 6: Final answer
    x = 636.46

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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.