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Finding the Fourth Proportional to 917.52, 1,266.20 and 563.46

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Solution

The fourth proportional to 917.52, 1,266.20 and 563.46 is: 777.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.52 : 1,266.20 = 563.46 : x
  2. Step 2: Convert to fraction form
    917.52/1,266.20 = 563.46/x
  3. Step 3: Cross multiply
    917.52x = 1,266.20 × 563.46
  4. Step 4: Simplify right side
    917.52x = 713,453.05
  5. Step 5: Solve for x
    x = 713,453.05/917.52
  6. Step 6: Final answer
    x = 777.59

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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.