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Finding the Fourth Proportional to 923.24, 1,274.09 and 503.61

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Solution

The fourth proportional to 923.24, 1,274.09 and 503.61 is: 694.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.24 : 1,274.09 = 503.61 : x
  2. Step 2: Convert to fraction form
    923.24/1,274.09 = 503.61/x
  3. Step 3: Cross multiply
    923.24x = 1,274.09 × 503.61
  4. Step 4: Simplify right side
    923.24x = 641,644.46
  5. Step 5: Solve for x
    x = 641,644.46/923.24
  6. Step 6: Final answer
    x = 694.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.