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Finding the Fourth Proportional to 923, 1,273.76 and 509

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Solution

The fourth proportional to 923, 1,273.76 and 509 is: 702.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    923 : 1,273.76 = 509 : x
  2. Step 2: Convert to fraction form
    923/1,273.76 = 509/x
  3. Step 3: Cross multiply
    923x = 1,273.76 × 509
  4. Step 4: Simplify right side
    923x = 648,343.84
  5. Step 5: Solve for x
    x = 648,343.84/923
  6. Step 6: Final answer
    x = 702.43

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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.