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Finding the Fourth Proportional to 679.76, 938.22 and 563.12

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Solution

The fourth proportional to 679.76, 938.22 and 563.12 is: 777.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.76 : 938.22 = 563.12 : x
  2. Step 2: Convert to fraction form
    679.76/938.22 = 563.12/x
  3. Step 3: Cross multiply
    679.76x = 938.22 × 563.12
  4. Step 4: Simplify right side
    679.76x = 528,330.45
  5. Step 5: Solve for x
    x = 528,330.45/679.76
  6. Step 6: Final answer
    x = 777.23

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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.