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Finding the Fourth Proportional to 926.75, 1,278.81 and 553.80

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Solution

The fourth proportional to 926.75, 1,278.81 and 553.80 is: 764.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.75 : 1,278.81 = 553.80 : x
  2. Step 2: Convert to fraction form
    926.75/1,278.81 = 553.80/x
  3. Step 3: Cross multiply
    926.75x = 1,278.81 × 553.80
  4. Step 4: Simplify right side
    926.75x = 708,204.98
  5. Step 5: Solve for x
    x = 708,204.98/926.75
  6. Step 6: Final answer
    x = 764.19

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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.