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Finding the Fourth Proportional to 926.16, 1,278.11 and 548.06

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Solution

The fourth proportional to 926.16, 1,278.11 and 548.06 is: 756.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.16 : 1,278.11 = 548.06 : x
  2. Step 2: Convert to fraction form
    926.16/1,278.11 = 548.06/x
  3. Step 3: Cross multiply
    926.16x = 1,278.11 × 548.06
  4. Step 4: Simplify right side
    926.16x = 700,480.97
  5. Step 5: Solve for x
    x = 700,480.97/926.16
  6. Step 6: Final answer
    x = 756.33

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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.