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Finding the Fourth Proportional to 1,009.10, 1,392.56 and 567

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Solution

The fourth proportional to 1,009.10, 1,392.56 and 567 is: 782.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.10 : 1,392.56 = 567 : x
  2. Step 2: Convert to fraction form
    1,009.10/1,392.56 = 567/x
  3. Step 3: Cross multiply
    1,009.10x = 1,392.56 × 567
  4. Step 4: Simplify right side
    1,009.10x = 789,578.69
  5. Step 5: Solve for x
    x = 789,578.69/1,009.10
  6. Step 6: Final answer
    x = 782.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.