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Finding the Fourth Proportional to 1,202.82, 1,805.04 and 586.68

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Solution

The fourth proportional to 1,202.82, 1,805.04 and 586.68 is: 880.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.82 : 1,805.04 = 586.68 : x
  2. Step 2: Convert to fraction form
    1,202.82/1,805.04 = 586.68/x
  3. Step 3: Cross multiply
    1,202.82x = 1,805.04 × 586.68
  4. Step 4: Simplify right side
    1,202.82x = 1,058,980.87
  5. Step 5: Solve for x
    x = 1,058,980.87/1,202.82
  6. Step 6: Final answer
    x = 880.42

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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.