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Finding the Fourth Proportional to 922.89, 1,384.40 and 798.24

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Solution

The fourth proportional to 922.89, 1,384.40 and 798.24 is: 1,197.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.89 : 1,384.40 = 798.24 : x
  2. Step 2: Convert to fraction form
    922.89/1,384.40 = 798.24/x
  3. Step 3: Cross multiply
    922.89x = 1,384.40 × 798.24
  4. Step 4: Simplify right side
    922.89x = 1,105,083.46
  5. Step 5: Solve for x
    x = 1,105,083.46/922.89
  6. Step 6: Final answer
    x = 1,197.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.