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Finding the Fourth Proportional to 922.46, 1,270.27 and 824.18

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Solution

The fourth proportional to 922.46, 1,270.27 and 824.18 is: 1,134.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.46 : 1,270.27 = 824.18 : x
  2. Step 2: Convert to fraction form
    922.46/1,270.27 = 824.18/x
  3. Step 3: Cross multiply
    922.46x = 1,270.27 × 824.18
  4. Step 4: Simplify right side
    922.46x = 1,046,935.27
  5. Step 5: Solve for x
    x = 1,046,935.27/922.46
  6. Step 6: Final answer
    x = 1,134.94

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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.