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Finding the Fourth Proportional to 924.72, 1,277.09 and 799.79

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Solution

The fourth proportional to 924.72, 1,277.09 and 799.79 is: 1,104.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.72 : 1,277.09 = 799.79 : x
  2. Step 2: Convert to fraction form
    924.72/1,277.09 = 799.79/x
  3. Step 3: Cross multiply
    924.72x = 1,277.09 × 799.79
  4. Step 4: Simplify right side
    924.72x = 1,021,393.43
  5. Step 5: Solve for x
    x = 1,021,393.43/924.72
  6. Step 6: Final answer
    x = 1,104.54

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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.