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Finding the Fourth Proportional to 1,290.94, 1,781.90 and 825.19

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Solution

The fourth proportional to 1,290.94, 1,781.90 and 825.19 is: 1,139.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.94 : 1,781.90 = 825.19 : x
  2. Step 2: Convert to fraction form
    1,290.94/1,781.90 = 825.19/x
  3. Step 3: Cross multiply
    1,290.94x = 1,781.90 × 825.19
  4. Step 4: Simplify right side
    1,290.94x = 1,470,400.57
  5. Step 5: Solve for x
    x = 1,470,400.57/1,290.94
  6. Step 6: Final answer
    x = 1,139.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.