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Finding the Fourth Proportional to 1,026.82, 1,416.56 and 695.14

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Solution

The fourth proportional to 1,026.82, 1,416.56 and 695.14 is: 958.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.82 : 1,416.56 = 695.14 : x
  2. Step 2: Convert to fraction form
    1,026.82/1,416.56 = 695.14/x
  3. Step 3: Cross multiply
    1,026.82x = 1,416.56 × 695.14
  4. Step 4: Simplify right side
    1,026.82x = 984,707.52
  5. Step 5: Solve for x
    x = 984,707.52/1,026.82
  6. Step 6: Final answer
    x = 958.99

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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.