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Finding the Fourth Proportional to 641.46, 886.74 and 575.84

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Solution

The fourth proportional to 641.46, 886.74 and 575.84 is: 796.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.46 : 886.74 = 575.84 : x
  2. Step 2: Convert to fraction form
    641.46/886.74 = 575.84/x
  3. Step 3: Cross multiply
    641.46x = 886.74 × 575.84
  4. Step 4: Simplify right side
    641.46x = 510,620.36
  5. Step 5: Solve for x
    x = 510,620.36/641.46
  6. Step 6: Final answer
    x = 796.03

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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.