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Finding the Fourth Proportional to 1,348.37, 2,022.55 and 424.00

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Solution

The fourth proportional to 1,348.37, 2,022.55 and 424.00 is: 636.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.37 : 2,022.55 = 424.00 : x
  2. Step 2: Convert to fraction form
    1,348.37/2,022.55 = 424.00/x
  3. Step 3: Cross multiply
    1,348.37x = 2,022.55 × 424.00
  4. Step 4: Simplify right side
    1,348.37x = 857,566.46
  5. Step 5: Solve for x
    x = 857,566.46/1,348.37
  6. Step 6: Final answer
    x = 636.00

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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.