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Finding the Fourth Proportional to 574.96, 861.80 and 528.83

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Solution

The fourth proportional to 574.96, 861.80 and 528.83 is: 792.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.96 : 861.80 = 528.83 : x
  2. Step 2: Convert to fraction form
    574.96/861.80 = 528.83/x
  3. Step 3: Cross multiply
    574.96x = 861.80 × 528.83
  4. Step 4: Simplify right side
    574.96x = 455,745.69
  5. Step 5: Solve for x
    x = 455,745.69/574.96
  6. Step 6: Final answer
    x = 792.66

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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.