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Finding the Fourth Proportional to 1,109.49, 1,531.06 and 667.23

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Solution

The fourth proportional to 1,109.49, 1,531.06 and 667.23 is: 920.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.49 : 1,531.06 = 667.23 : x
  2. Step 2: Convert to fraction form
    1,109.49/1,531.06 = 667.23/x
  3. Step 3: Cross multiply
    1,109.49x = 1,531.06 × 667.23
  4. Step 4: Simplify right side
    1,109.49x = 1,021,569.16
  5. Step 5: Solve for x
    x = 1,021,569.16/1,109.49
  6. Step 6: Final answer
    x = 920.76

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