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Finding the Fourth Proportional to 923.31, 1,274.49 and 824.90

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Solution

The fourth proportional to 923.31, 1,274.49 and 824.90 is: 1,138.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.31 : 1,274.49 = 824.90 : x
  2. Step 2: Convert to fraction form
    923.31/1,274.49 = 824.90/x
  3. Step 3: Cross multiply
    923.31x = 1,274.49 × 824.90
  4. Step 4: Simplify right side
    923.31x = 1,051,320.43
  5. Step 5: Solve for x
    x = 1,051,320.43/923.31
  6. Step 6: Final answer
    x = 1,138.64

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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.