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Finding the Fourth Proportional to 1,109.93, 1,531.85 and 667.94

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Solution

The fourth proportional to 1,109.93, 1,531.85 and 667.94 is: 921.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.93 : 1,531.85 = 667.94 : x
  2. Step 2: Convert to fraction form
    1,109.93/1,531.85 = 667.94/x
  3. Step 3: Cross multiply
    1,109.93x = 1,531.85 × 667.94
  4. Step 4: Simplify right side
    1,109.93x = 1,023,172.89
  5. Step 5: Solve for x
    x = 1,023,172.89/1,109.93
  6. Step 6: Final answer
    x = 921.84

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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.