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Finding the Fourth Proportional to 923.72, 1,273.48 and 628.48

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Solution

The fourth proportional to 923.72, 1,273.48 and 628.48 is: 866.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.72 : 1,273.48 = 628.48 : x
  2. Step 2: Convert to fraction form
    923.72/1,273.48 = 628.48/x
  3. Step 3: Cross multiply
    923.72x = 1,273.48 × 628.48
  4. Step 4: Simplify right side
    923.72x = 800,356.71
  5. Step 5: Solve for x
    x = 800,356.71/923.72
  6. Step 6: Final answer
    x = 866.45

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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.