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Finding the Fourth Proportional to 1,027.15, 1,416.96 and 695.45

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Solution

The fourth proportional to 1,027.15, 1,416.96 and 695.45 is: 959.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.15 : 1,416.96 = 695.45 : x
  2. Step 2: Convert to fraction form
    1,027.15/1,416.96 = 695.45/x
  3. Step 3: Cross multiply
    1,027.15x = 1,416.96 × 695.45
  4. Step 4: Simplify right side
    1,027.15x = 985,428.37
  5. Step 5: Solve for x
    x = 985,428.37/1,027.15
  6. Step 6: Final answer
    x = 959.38

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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.