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Finding the Fourth Proportional to 1,168.84, 1,613.31 and 790.56

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Solution

The fourth proportional to 1,168.84, 1,613.31 and 790.56 is: 1,091.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.84 : 1,613.31 = 790.56 : x
  2. Step 2: Convert to fraction form
    1,168.84/1,613.31 = 790.56/x
  3. Step 3: Cross multiply
    1,168.84x = 1,613.31 × 790.56
  4. Step 4: Simplify right side
    1,168.84x = 1,275,418.35
  5. Step 5: Solve for x
    x = 1,275,418.35/1,168.84
  6. Step 6: Final answer
    x = 1,091.18

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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.