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Finding the Fourth Proportional to 926.66, 1,278.96 and 533.92

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Solution

The fourth proportional to 926.66, 1,278.96 and 533.92 is: 736.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.66 : 1,278.96 = 533.92 : x
  2. Step 2: Convert to fraction form
    926.66/1,278.96 = 533.92/x
  3. Step 3: Cross multiply
    926.66x = 1,278.96 × 533.92
  4. Step 4: Simplify right side
    926.66x = 682,862.32
  5. Step 5: Solve for x
    x = 682,862.32/926.66
  6. Step 6: Final answer
    x = 736.91

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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.