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Finding the Fourth Proportional to 921.16, 1,266.84 and 732.43

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Solution

The fourth proportional to 921.16, 1,266.84 and 732.43 is: 1,007.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.16 : 1,266.84 = 732.43 : x
  2. Step 2: Convert to fraction form
    921.16/1,266.84 = 732.43/x
  3. Step 3: Cross multiply
    921.16x = 1,266.84 × 732.43
  4. Step 4: Simplify right side
    921.16x = 927,868.45
  5. Step 5: Solve for x
    x = 927,868.45/921.16
  6. Step 6: Final answer
    x = 1,007.29

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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.