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Finding the Fourth Proportional to 923.39, 1,382.96 and 661.76

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Solution

The fourth proportional to 923.39, 1,382.96 and 661.76 is: 991.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.39 : 1,382.96 = 661.76 : x
  2. Step 2: Convert to fraction form
    923.39/1,382.96 = 661.76/x
  3. Step 3: Cross multiply
    923.39x = 1,382.96 × 661.76
  4. Step 4: Simplify right side
    923.39x = 915,192.72
  5. Step 5: Solve for x
    x = 915,192.72/923.39
  6. Step 6: Final answer
    x = 991.12

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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.