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Finding the Fourth Proportional to 1,192.39, 1,790.63 and 732.87

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Solution

The fourth proportional to 1,192.39, 1,790.63 and 732.87 is: 1,100.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.39 : 1,790.63 = 732.87 : x
  2. Step 2: Convert to fraction form
    1,192.39/1,790.63 = 732.87/x
  3. Step 3: Cross multiply
    1,192.39x = 1,790.63 × 732.87
  4. Step 4: Simplify right side
    1,192.39x = 1,312,299.01
  5. Step 5: Solve for x
    x = 1,312,299.01/1,192.39
  6. Step 6: Final answer
    x = 1,100.56

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Why These Related Problems?

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