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Finding the Fourth Proportional to 991.81, 1,488.39 and 732.43

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Solution

The fourth proportional to 991.81, 1,488.39 and 732.43 is: 1,099.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.81 : 1,488.39 = 732.43 : x
  2. Step 2: Convert to fraction form
    991.81/1,488.39 = 732.43/x
  3. Step 3: Cross multiply
    991.81x = 1,488.39 × 732.43
  4. Step 4: Simplify right side
    991.81x = 1,090,141.49
  5. Step 5: Solve for x
    x = 1,090,141.49/991.81
  6. Step 6: Final answer
    x = 1,099.14

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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.