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Finding the Fourth Proportional to 923.74, 1,382.13 and 513.17

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Solution

The fourth proportional to 923.74, 1,382.13 and 513.17 is: 767.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.74 : 1,382.13 = 513.17 : x
  2. Step 2: Convert to fraction form
    923.74/1,382.13 = 513.17/x
  3. Step 3: Cross multiply
    923.74x = 1,382.13 × 513.17
  4. Step 4: Simplify right side
    923.74x = 709,265.92
  5. Step 5: Solve for x
    x = 709,265.92/923.74
  6. Step 6: Final answer
    x = 767.82

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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.