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Finding the Fourth Proportional to 1,280.61, 1,759.58 and 1,018.17

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Solution

The fourth proportional to 1,280.61, 1,759.58 and 1,018.17 is: 1,398.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.61 : 1,759.58 = 1,018.17 : x
  2. Step 2: Convert to fraction form
    1,280.61/1,759.58 = 1,018.17/x
  3. Step 3: Cross multiply
    1,280.61x = 1,759.58 × 1,018.17
  4. Step 4: Simplify right side
    1,280.61x = 1,791,551.57
  5. Step 5: Solve for x
    x = 1,791,551.57/1,280.61
  6. Step 6: Final answer
    x = 1,398.98

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.