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Finding the Fourth Proportional to 1,249.41, 1,880.64 and 1,061.49

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Solution

The fourth proportional to 1,249.41, 1,880.64 and 1,061.49 is: 1,597.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.41 : 1,880.64 = 1,061.49 : x
  2. Step 2: Convert to fraction form
    1,249.41/1,880.64 = 1,061.49/x
  3. Step 3: Cross multiply
    1,249.41x = 1,880.64 × 1,061.49
  4. Step 4: Simplify right side
    1,249.41x = 1,996,280.55
  5. Step 5: Solve for x
    x = 1,996,280.55/1,249.41
  6. Step 6: Final answer
    x = 1,597.78

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Why These Related Problems?

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