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Finding the Fourth Proportional to 1,192.97, 1,645.51 and 695.14

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Solution

The fourth proportional to 1,192.97, 1,645.51 and 695.14 is: 958.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.97 : 1,645.51 = 695.14 : x
  2. Step 2: Convert to fraction form
    1,192.97/1,645.51 = 695.14/x
  3. Step 3: Cross multiply
    1,192.97x = 1,645.51 × 695.14
  4. Step 4: Simplify right side
    1,192.97x = 1,143,859.82
  5. Step 5: Solve for x
    x = 1,143,859.82/1,192.97
  6. Step 6: Final answer
    x = 958.83

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1.5x scale

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.