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Finding the Fourth Proportional to 923.94, 1,274.67 and 609.37

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Solution

The fourth proportional to 923.94, 1,274.67 and 609.37 is: 840.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.94 : 1,274.67 = 609.37 : x
  2. Step 2: Convert to fraction form
    923.94/1,274.67 = 609.37/x
  3. Step 3: Cross multiply
    923.94x = 1,274.67 × 609.37
  4. Step 4: Simplify right side
    923.94x = 776,742.47
  5. Step 5: Solve for x
    x = 776,742.47/923.94
  6. Step 6: Final answer
    x = 840.68

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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.