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Finding the Fourth Proportional to 694.56, 959.04 and 563.52

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Solution

The fourth proportional to 694.56, 959.04 and 563.52 is: 778.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.56 : 959.04 = 563.52 : x
  2. Step 2: Convert to fraction form
    694.56/959.04 = 563.52/x
  3. Step 3: Cross multiply
    694.56x = 959.04 × 563.52
  4. Step 4: Simplify right side
    694.56x = 540,438.22
  5. Step 5: Solve for x
    x = 540,438.22/694.56
  6. Step 6: Final answer
    x = 778.10

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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.