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Finding the Fourth Proportional to 1,027.06, 1,415.86 and 677.14

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Solution

The fourth proportional to 1,027.06, 1,415.86 and 677.14 is: 933.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.06 : 1,415.86 = 677.14 : x
  2. Step 2: Convert to fraction form
    1,027.06/1,415.86 = 677.14/x
  3. Step 3: Cross multiply
    1,027.06x = 1,415.86 × 677.14
  4. Step 4: Simplify right side
    1,027.06x = 958,735.44
  5. Step 5: Solve for x
    x = 958,735.44/1,027.06
  6. Step 6: Final answer
    x = 933.48

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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.