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Finding the Fourth Proportional to 1,109.66, 1,531.34 and 667.57

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Solution

The fourth proportional to 1,109.66, 1,531.34 and 667.57 is: 921.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.66 : 1,531.34 = 667.57 : x
  2. Step 2: Convert to fraction form
    1,109.66/1,531.34 = 667.57/x
  3. Step 3: Cross multiply
    1,109.66x = 1,531.34 × 667.57
  4. Step 4: Simplify right side
    1,109.66x = 1,022,276.64
  5. Step 5: Solve for x
    x = 1,022,276.64/1,109.66
  6. Step 6: Final answer
    x = 921.25

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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.