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Finding the Fourth Proportional to 1,192.43, 1,644.67 and 695.04

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Solution

The fourth proportional to 1,192.43, 1,644.67 and 695.04 is: 958.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.43 : 1,644.67 = 695.04 : x
  2. Step 2: Convert to fraction form
    1,192.43/1,644.67 = 695.04/x
  3. Step 3: Cross multiply
    1,192.43x = 1,644.67 × 695.04
  4. Step 4: Simplify right side
    1,192.43x = 1,143,106.14
  5. Step 5: Solve for x
    x = 1,143,106.14/1,192.43
  6. Step 6: Final answer
    x = 958.64

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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.