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Finding the Fourth Proportional to 1,009.22, 1,512.75 and 521.78

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Solution

The fourth proportional to 1,009.22, 1,512.75 and 521.78 is: 782.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.22 : 1,512.75 = 521.78 : x
  2. Step 2: Convert to fraction form
    1,009.22/1,512.75 = 521.78/x
  3. Step 3: Cross multiply
    1,009.22x = 1,512.75 × 521.78
  4. Step 4: Simplify right side
    1,009.22x = 789,322.70
  5. Step 5: Solve for x
    x = 789,322.70/1,009.22
  6. Step 6: Final answer
    x = 782.11

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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.