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Finding the Fourth Proportional to 1,264.89, 1,887.97 and 1,186.98

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Solution

The fourth proportional to 1,264.89, 1,887.97 and 1,186.98 is: 1,771.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.89 : 1,887.97 = 1,186.98 : x
  2. Step 2: Convert to fraction form
    1,264.89/1,887.97 = 1,186.98/x
  3. Step 3: Cross multiply
    1,264.89x = 1,887.97 × 1,186.98
  4. Step 4: Simplify right side
    1,264.89x = 2,240,979.66
  5. Step 5: Solve for x
    x = 2,240,979.66/1,264.89
  6. Step 6: Final answer
    x = 1,771.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.