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Finding the Fourth Proportional to 923.17, 1,274 and 503.53

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Solution

The fourth proportional to 923.17, 1,274 and 503.53 is: 694.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.17 : 1,274 = 503.53 : x
  2. Step 2: Convert to fraction form
    923.17/1,274 = 503.53/x
  3. Step 3: Cross multiply
    923.17x = 1,274 × 503.53
  4. Step 4: Simplify right side
    923.17x = 641,497.22
  5. Step 5: Solve for x
    x = 641,497.22/923.17
  6. Step 6: Final answer
    x = 694.89

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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.