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Finding the Fourth Proportional to 1,348.98, 2,024.01 and 424.68

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Solution

The fourth proportional to 1,348.98, 2,024.01 and 424.68 is: 637.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.98 : 2,024.01 = 424.68 : x
  2. Step 2: Convert to fraction form
    1,348.98/2,024.01 = 424.68/x
  3. Step 3: Cross multiply
    1,348.98x = 2,024.01 × 424.68
  4. Step 4: Simplify right side
    1,348.98x = 859,556.57
  5. Step 5: Solve for x
    x = 859,556.57/1,348.98
  6. Step 6: Final answer
    x = 637.19

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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.