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Finding the Fourth Proportional to 1,280.13, 1,766.55 and 712.95

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Solution

The fourth proportional to 1,280.13, 1,766.55 and 712.95 is: 983.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.13 : 1,766.55 = 712.95 : x
  2. Step 2: Convert to fraction form
    1,280.13/1,766.55 = 712.95/x
  3. Step 3: Cross multiply
    1,280.13x = 1,766.55 × 712.95
  4. Step 4: Simplify right side
    1,280.13x = 1,259,461.82
  5. Step 5: Solve for x
    x = 1,259,461.82/1,280.13
  6. Step 6: Final answer
    x = 983.85

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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.