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Finding the Fourth Proportional to 1,192.76, 1,646.18 and 695.44

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Solution

The fourth proportional to 1,192.76, 1,646.18 and 695.44 is: 959.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.76 : 1,646.18 = 695.44 : x
  2. Step 2: Convert to fraction form
    1,192.76/1,646.18 = 695.44/x
  3. Step 3: Cross multiply
    1,192.76x = 1,646.18 × 695.44
  4. Step 4: Simplify right side
    1,192.76x = 1,144,819.42
  5. Step 5: Solve for x
    x = 1,144,819.42/1,192.76
  6. Step 6: Final answer
    x = 959.81

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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.