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Finding the Fourth Proportional to 698.35, 963 and 565.44

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Solution

The fourth proportional to 698.35, 963 and 565.44 is: 779.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.35 : 963 = 565.44 : x
  2. Step 2: Convert to fraction form
    698.35/963 = 565.44/x
  3. Step 3: Cross multiply
    698.35x = 963 × 565.44
  4. Step 4: Simplify right side
    698.35x = 544,518.72
  5. Step 5: Solve for x
    x = 544,518.72/698.35
  6. Step 6: Final answer
    x = 779.72

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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.