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Finding the Fourth Proportional to 587.69, 882.56 and 541.97

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Solution

The fourth proportional to 587.69, 882.56 and 541.97 is: 813.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.69 : 882.56 = 541.97 : x
  2. Step 2: Convert to fraction form
    587.69/882.56 = 541.97/x
  3. Step 3: Cross multiply
    587.69x = 882.56 × 541.97
  4. Step 4: Simplify right side
    587.69x = 478,313.92
  5. Step 5: Solve for x
    x = 478,313.92/587.69
  6. Step 6: Final answer
    x = 813.90

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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.