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Finding the Fourth Proportional to 1,348.08, 2,022.40 and 763.35

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Solution

The fourth proportional to 1,348.08, 2,022.40 and 763.35 is: 1,145.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.08 : 2,022.40 = 763.35 : x
  2. Step 2: Convert to fraction form
    1,348.08/2,022.40 = 763.35/x
  3. Step 3: Cross multiply
    1,348.08x = 2,022.40 × 763.35
  4. Step 4: Simplify right side
    1,348.08x = 1,543,799.04
  5. Step 5: Solve for x
    x = 1,543,799.04/1,348.08
  6. Step 6: Final answer
    x = 1,145.19

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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.