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Finding the Fourth Proportional to 698.52, 963.72 and 551.04

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Solution

The fourth proportional to 698.52, 963.72 and 551.04 is: 760.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.52 : 963.72 = 551.04 : x
  2. Step 2: Convert to fraction form
    698.52/963.72 = 551.04/x
  3. Step 3: Cross multiply
    698.52x = 963.72 × 551.04
  4. Step 4: Simplify right side
    698.52x = 531,048.27
  5. Step 5: Solve for x
    x = 531,048.27/698.52
  6. Step 6: Final answer
    x = 760.25

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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.