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Finding the Fourth Proportional to 1,280.18, 1,918.64 and 549.02

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Solution

The fourth proportional to 1,280.18, 1,918.64 and 549.02 is: 822.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.18 : 1,918.64 = 549.02 : x
  2. Step 2: Convert to fraction form
    1,280.18/1,918.64 = 549.02/x
  3. Step 3: Cross multiply
    1,280.18x = 1,918.64 × 549.02
  4. Step 4: Simplify right side
    1,280.18x = 1,053,371.73
  5. Step 5: Solve for x
    x = 1,053,371.73/1,280.18
  6. Step 6: Final answer
    x = 822.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.