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Finding the Fourth Proportional to 1,086.62, 1,630.23 and 531.36

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Solution

The fourth proportional to 1,086.62, 1,630.23 and 531.36 is: 797.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.62 : 1,630.23 = 531.36 : x
  2. Step 2: Convert to fraction form
    1,086.62/1,630.23 = 531.36/x
  3. Step 3: Cross multiply
    1,086.62x = 1,630.23 × 531.36
  4. Step 4: Simplify right side
    1,086.62x = 866,237.02
  5. Step 5: Solve for x
    x = 866,237.02/1,086.62
  6. Step 6: Final answer
    x = 797.19

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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.