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Finding the Fourth Proportional to 663.20, 914.55 and 563.50

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Solution

The fourth proportional to 663.20, 914.55 and 563.50 is: 777.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.20 : 914.55 = 563.50 : x
  2. Step 2: Convert to fraction form
    663.20/914.55 = 563.50/x
  3. Step 3: Cross multiply
    663.20x = 914.55 × 563.50
  4. Step 4: Simplify right side
    663.20x = 515,347.96
  5. Step 5: Solve for x
    x = 515,347.96/663.20
  6. Step 6: Final answer
    x = 777.07

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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.