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Finding the Fourth Proportional to 1,199.93, 1,800.41 and 584.19

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Solution

The fourth proportional to 1,199.93, 1,800.41 and 584.19 is: 876.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.93 : 1,800.41 = 584.19 : x
  2. Step 2: Convert to fraction form
    1,199.93/1,800.41 = 584.19/x
  3. Step 3: Cross multiply
    1,199.93x = 1,800.41 × 584.19
  4. Step 4: Simplify right side
    1,199.93x = 1,051,778.60
  5. Step 5: Solve for x
    x = 1,051,778.60/1,199.93
  6. Step 6: Final answer
    x = 876.54

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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.