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Finding the Fourth Proportional to 954.24, 1,428.94 and 799.76

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Solution

The fourth proportional to 954.24, 1,428.94 and 799.76 is: 1,197.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.24 : 1,428.94 = 799.76 : x
  2. Step 2: Convert to fraction form
    954.24/1,428.94 = 799.76/x
  3. Step 3: Cross multiply
    954.24x = 1,428.94 × 799.76
  4. Step 4: Simplify right side
    954.24x = 1,142,809.05
  5. Step 5: Solve for x
    x = 1,142,809.05/954.24
  6. Step 6: Final answer
    x = 1,197.61

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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.