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Finding the Fourth Proportional to 1,201.66, 1,800.72 and 584.65

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Solution

The fourth proportional to 1,201.66, 1,800.72 and 584.65 is: 876.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.66 : 1,800.72 = 584.65 : x
  2. Step 2: Convert to fraction form
    1,201.66/1,800.72 = 584.65/x
  3. Step 3: Cross multiply
    1,201.66x = 1,800.72 × 584.65
  4. Step 4: Simplify right side
    1,201.66x = 1,052,790.95
  5. Step 5: Solve for x
    x = 1,052,790.95/1,201.66
  6. Step 6: Final answer
    x = 876.11

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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.