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Finding the Fourth Proportional to 922.96, 1,270.97 and 824.68

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Solution

The fourth proportional to 922.96, 1,270.97 and 824.68 is: 1,135.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.96 : 1,270.97 = 824.68 : x
  2. Step 2: Convert to fraction form
    922.96/1,270.97 = 824.68/x
  3. Step 3: Cross multiply
    922.96x = 1,270.97 × 824.68
  4. Step 4: Simplify right side
    922.96x = 1,048,139.42
  5. Step 5: Solve for x
    x = 1,048,139.42/922.96
  6. Step 6: Final answer
    x = 1,135.63

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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.