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Finding the Fourth Proportional to 923.01, 1,384.92 and 634.92

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Solution

The fourth proportional to 923.01, 1,384.92 and 634.92 is: 952.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.01 : 1,384.92 = 634.92 : x
  2. Step 2: Convert to fraction form
    923.01/1,384.92 = 634.92/x
  3. Step 3: Cross multiply
    923.01x = 1,384.92 × 634.92
  4. Step 4: Simplify right side
    923.01x = 879,313.41
  5. Step 5: Solve for x
    x = 879,313.41/923.01
  6. Step 6: Final answer
    x = 952.66

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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.