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Finding the Fourth Proportional to 1,192.16, 1,789.56 and 706.16

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Solution

The fourth proportional to 1,192.16, 1,789.56 and 706.16 is: 1,060.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.16 : 1,789.56 = 706.16 : x
  2. Step 2: Convert to fraction form
    1,192.16/1,789.56 = 706.16/x
  3. Step 3: Cross multiply
    1,192.16x = 1,789.56 × 706.16
  4. Step 4: Simplify right side
    1,192.16x = 1,263,715.69
  5. Step 5: Solve for x
    x = 1,263,715.69/1,192.16
  6. Step 6: Final answer
    x = 1,060.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.