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Finding the Fourth Proportional to 1,169.30, 1,752.20 and 706.56

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Solution

The fourth proportional to 1,169.30, 1,752.20 and 706.56 is: 1,058.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.30 : 1,752.20 = 706.56 : x
  2. Step 2: Convert to fraction form
    1,169.30/1,752.20 = 706.56/x
  3. Step 3: Cross multiply
    1,169.30x = 1,752.20 × 706.56
  4. Step 4: Simplify right side
    1,169.30x = 1,238,034.43
  5. Step 5: Solve for x
    x = 1,238,034.43/1,169.30
  6. Step 6: Final answer
    x = 1,058.78

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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.