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Finding the Fourth Proportional to 625.14, 862.97 and 585.79

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Solution

The fourth proportional to 625.14, 862.97 and 585.79 is: 808.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.14 : 862.97 = 585.79 : x
  2. Step 2: Convert to fraction form
    625.14/862.97 = 585.79/x
  3. Step 3: Cross multiply
    625.14x = 862.97 × 585.79
  4. Step 4: Simplify right side
    625.14x = 505,513.72
  5. Step 5: Solve for x
    x = 505,513.72/625.14
  6. Step 6: Final answer
    x = 808.64

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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.