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Finding the Fourth Proportional to 926.41, 1,278.58 and 533.43

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Solution

The fourth proportional to 926.41, 1,278.58 and 533.43 is: 736.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.41 : 1,278.58 = 533.43 : x
  2. Step 2: Convert to fraction form
    926.41/1,278.58 = 533.43/x
  3. Step 3: Cross multiply
    926.41x = 1,278.58 × 533.43
  4. Step 4: Simplify right side
    926.41x = 682,032.93
  5. Step 5: Solve for x
    x = 682,032.93/926.41
  6. Step 6: Final answer
    x = 736.21

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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.