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Finding the Fourth Proportional to 1,027.35, 1,416.56 and 695.99

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Solution

The fourth proportional to 1,027.35, 1,416.56 and 695.99 is: 959.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.35 : 1,416.56 = 695.99 : x
  2. Step 2: Convert to fraction form
    1,027.35/1,416.56 = 695.99/x
  3. Step 3: Cross multiply
    1,027.35x = 1,416.56 × 695.99
  4. Step 4: Simplify right side
    1,027.35x = 985,911.66
  5. Step 5: Solve for x
    x = 985,911.66/1,027.35
  6. Step 6: Final answer
    x = 959.66

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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.