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Finding the Fourth Proportional to 1,169.11, 1,612.69 and 755.11

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Solution

The fourth proportional to 1,169.11, 1,612.69 and 755.11 is: 1,041.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.11 : 1,612.69 = 755.11 : x
  2. Step 2: Convert to fraction form
    1,169.11/1,612.69 = 755.11/x
  3. Step 3: Cross multiply
    1,169.11x = 1,612.69 × 755.11
  4. Step 4: Simplify right side
    1,169.11x = 1,217,758.35
  5. Step 5: Solve for x
    x = 1,217,758.35/1,169.11
  6. Step 6: Final answer
    x = 1,041.61

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Why These Related Problems?

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