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Finding the Fourth Proportional to 924.82, 1,274.77 and 625.97

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Solution

The fourth proportional to 924.82, 1,274.77 and 625.97 is: 862.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.82 : 1,274.77 = 625.97 : x
  2. Step 2: Convert to fraction form
    924.82/1,274.77 = 625.97/x
  3. Step 3: Cross multiply
    924.82x = 1,274.77 × 625.97
  4. Step 4: Simplify right side
    924.82x = 797,968.79
  5. Step 5: Solve for x
    x = 797,968.79/924.82
  6. Step 6: Final answer
    x = 862.84

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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.