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Finding the Fourth Proportional to 698.40, 963.36 and 512.16

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Solution

The fourth proportional to 698.40, 963.36 and 512.16 is: 706.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.40 : 963.36 = 512.16 : x
  2. Step 2: Convert to fraction form
    698.40/963.36 = 512.16/x
  3. Step 3: Cross multiply
    698.40x = 963.36 × 512.16
  4. Step 4: Simplify right side
    698.40x = 493,394.46
  5. Step 5: Solve for x
    x = 493,394.46/698.40
  6. Step 6: Final answer
    x = 706.46

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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.