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Finding the Fourth Proportional to 922.37, 1,274.49 and 737.39

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Solution

The fourth proportional to 922.37, 1,274.49 and 737.39 is: 1,018.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.37 : 1,274.49 = 737.39 : x
  2. Step 2: Convert to fraction form
    922.37/1,274.49 = 737.39/x
  3. Step 3: Cross multiply
    922.37x = 1,274.49 × 737.39
  4. Step 4: Simplify right side
    922.37x = 939,789.81
  5. Step 5: Solve for x
    x = 939,789.81/922.37
  6. Step 6: Final answer
    x = 1,018.89

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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.