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Finding the Fourth Proportional to 1,169.89, 1,754.33 and 584.66

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Solution

The fourth proportional to 1,169.89, 1,754.33 and 584.66 is: 876.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.89 : 1,754.33 = 584.66 : x
  2. Step 2: Convert to fraction form
    1,169.89/1,754.33 = 584.66/x
  3. Step 3: Cross multiply
    1,169.89x = 1,754.33 × 584.66
  4. Step 4: Simplify right side
    1,169.89x = 1,025,688.04
  5. Step 5: Solve for x
    x = 1,025,688.04/1,169.89
  6. Step 6: Final answer
    x = 876.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.