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Finding the Fourth Proportional to 1,303.29, 1,969.72 and 1,280.61

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Solution

The fourth proportional to 1,303.29, 1,969.72 and 1,280.61 is: 1,935.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.29 : 1,969.72 = 1,280.61 : x
  2. Step 2: Convert to fraction form
    1,303.29/1,969.72 = 1,280.61/x
  3. Step 3: Cross multiply
    1,303.29x = 1,969.72 × 1,280.61
  4. Step 4: Simplify right side
    1,303.29x = 2,522,439.93
  5. Step 5: Solve for x
    x = 2,522,439.93/1,303.29
  6. Step 6: Final answer
    x = 1,935.44

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.