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Finding the Fourth Proportional to 1,393.10, 2,087.82 and 777.09

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Solution

The fourth proportional to 1,393.10, 2,087.82 and 777.09 is: 1,164.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.10 : 2,087.82 = 777.09 : x
  2. Step 2: Convert to fraction form
    1,393.10/2,087.82 = 777.09/x
  3. Step 3: Cross multiply
    1,393.10x = 2,087.82 × 777.09
  4. Step 4: Simplify right side
    1,393.10x = 1,622,424.04
  5. Step 5: Solve for x
    x = 1,622,424.04/1,393.10
  6. Step 6: Final answer
    x = 1,164.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.