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Finding the Fourth Proportional to 911.50, 1,257.96 and 562.30

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Solution

The fourth proportional to 911.50, 1,257.96 and 562.30 is: 776.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.50 : 1,257.96 = 562.30 : x
  2. Step 2: Convert to fraction form
    911.50/1,257.96 = 562.30/x
  3. Step 3: Cross multiply
    911.50x = 1,257.96 × 562.30
  4. Step 4: Simplify right side
    911.50x = 707,350.91
  5. Step 5: Solve for x
    x = 707,350.91/911.50
  6. Step 6: Final answer
    x = 776.03

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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.