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Finding the Fourth Proportional to 1,280.59, 1,767.40 and 721.10

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Solution

The fourth proportional to 1,280.59, 1,767.40 and 721.10 is: 995.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.59 : 1,767.40 = 721.10 : x
  2. Step 2: Convert to fraction form
    1,280.59/1,767.40 = 721.10/x
  3. Step 3: Cross multiply
    1,280.59x = 1,767.40 × 721.10
  4. Step 4: Simplify right side
    1,280.59x = 1,274,474.76
  5. Step 5: Solve for x
    x = 1,274,474.76/1,280.59
  6. Step 6: Final answer
    x = 995.23

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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.