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Finding the Fourth Proportional to 1,027.24, 1,418.81 and 778.01

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Solution

The fourth proportional to 1,027.24, 1,418.81 and 778.01 is: 1,074.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.24 : 1,418.81 = 778.01 : x
  2. Step 2: Convert to fraction form
    1,027.24/1,418.81 = 778.01/x
  3. Step 3: Cross multiply
    1,027.24x = 1,418.81 × 778.01
  4. Step 4: Simplify right side
    1,027.24x = 1,103,837.38
  5. Step 5: Solve for x
    x = 1,103,837.38/1,027.24
  6. Step 6: Final answer
    x = 1,074.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.