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Finding the Fourth Proportional to 1,027.14, 1,418.63 and 695.00

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Solution

The fourth proportional to 1,027.14, 1,418.63 and 695.00 is: 959.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.14 : 1,418.63 = 695.00 : x
  2. Step 2: Convert to fraction form
    1,027.14/1,418.63 = 695.00/x
  3. Step 3: Cross multiply
    1,027.14x = 1,418.63 × 695.00
  4. Step 4: Simplify right side
    1,027.14x = 985,937.28
  5. Step 5: Solve for x
    x = 985,937.28/1,027.14
  6. Step 6: Final answer
    x = 959.89

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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.