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Finding the Fourth Proportional to 923.74, 1,382.54 and 769.97

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Solution

The fourth proportional to 923.74, 1,382.54 and 769.97 is: 1,152.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.74 : 1,382.54 = 769.97 : x
  2. Step 2: Convert to fraction form
    923.74/1,382.54 = 769.97/x
  3. Step 3: Cross multiply
    923.74x = 1,382.54 × 769.97
  4. Step 4: Simplify right side
    923.74x = 1,064,513.93
  5. Step 5: Solve for x
    x = 1,064,513.93/923.74
  6. Step 6: Final answer
    x = 1,152.40

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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.