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Finding the Fourth Proportional to 927.83, 1,280.36 and 549.96

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Solution

The fourth proportional to 927.83, 1,280.36 and 549.96 is: 758.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.83 : 1,280.36 = 549.96 : x
  2. Step 2: Convert to fraction form
    927.83/1,280.36 = 549.96/x
  3. Step 3: Cross multiply
    927.83x = 1,280.36 × 549.96
  4. Step 4: Simplify right side
    927.83x = 704,146.79
  5. Step 5: Solve for x
    x = 704,146.79/927.83
  6. Step 6: Final answer
    x = 758.92

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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.