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Finding the Fourth Proportional to 1,201.93, 1,800.81 and 584.84

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Solution

The fourth proportional to 1,201.93, 1,800.81 and 584.84 is: 876.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.93 : 1,800.81 = 584.84 : x
  2. Step 2: Convert to fraction form
    1,201.93/1,800.81 = 584.84/x
  3. Step 3: Cross multiply
    1,201.93x = 1,800.81 × 584.84
  4. Step 4: Simplify right side
    1,201.93x = 1,053,185.72
  5. Step 5: Solve for x
    x = 1,053,185.72/1,201.93
  6. Step 6: Final answer
    x = 876.25

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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.