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Finding the Fourth Proportional to 587.41, 878.51 and 522.86

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Solution

The fourth proportional to 587.41, 878.51 and 522.86 is: 781.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.41 : 878.51 = 522.86 : x
  2. Step 2: Convert to fraction form
    587.41/878.51 = 522.86/x
  3. Step 3: Cross multiply
    587.41x = 878.51 × 522.86
  4. Step 4: Simplify right side
    587.41x = 459,334.65
  5. Step 5: Solve for x
    x = 459,334.65/587.41
  6. Step 6: Final answer
    x = 781.97

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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.