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Finding the Fourth Proportional to 1,348.83, 2,023.52 and 424.53

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Solution

The fourth proportional to 1,348.83, 2,023.52 and 424.53 is: 636.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.83 : 2,023.52 = 424.53 : x
  2. Step 2: Convert to fraction form
    1,348.83/2,023.52 = 424.53/x
  3. Step 3: Cross multiply
    1,348.83x = 2,023.52 × 424.53
  4. Step 4: Simplify right side
    1,348.83x = 859,042.82
  5. Step 5: Solve for x
    x = 859,042.82/1,348.83
  6. Step 6: Final answer
    x = 636.88

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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.