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Finding the Fourth Proportional to 1,192.68, 1,646.22 and 695.52

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Solution

The fourth proportional to 1,192.68, 1,646.22 and 695.52 is: 960.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.68 : 1,646.22 = 695.52 : x
  2. Step 2: Convert to fraction form
    1,192.68/1,646.22 = 695.52/x
  3. Step 3: Cross multiply
    1,192.68x = 1,646.22 × 695.52
  4. Step 4: Simplify right side
    1,192.68x = 1,144,978.93
  5. Step 5: Solve for x
    x = 1,144,978.93/1,192.68
  6. Step 6: Final answer
    x = 960.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.