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Finding the Fourth Proportional to 1,202.82, 1,801.77 and 584.67

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Solution

The fourth proportional to 1,202.82, 1,801.77 and 584.67 is: 875.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.82 : 1,801.77 = 584.67 : x
  2. Step 2: Convert to fraction form
    1,202.82/1,801.77 = 584.67/x
  3. Step 3: Cross multiply
    1,202.82x = 1,801.77 × 584.67
  4. Step 4: Simplify right side
    1,202.82x = 1,053,440.87
  5. Step 5: Solve for x
    x = 1,053,440.87/1,202.82
  6. Step 6: Final answer
    x = 875.81

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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.