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Finding the Fourth Proportional to 1,348.35, 2,022.98 and 424.04

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Solution

The fourth proportional to 1,348.35, 2,022.98 and 424.04 is: 636.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.35 : 2,022.98 = 424.04 : x
  2. Step 2: Convert to fraction form
    1,348.35/2,022.98 = 424.04/x
  3. Step 3: Cross multiply
    1,348.35x = 2,022.98 × 424.04
  4. Step 4: Simplify right side
    1,348.35x = 857,812.20
  5. Step 5: Solve for x
    x = 857,812.20/1,348.35
  6. Step 6: Final answer
    x = 636.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.