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Finding the Fourth Proportional to 698.46, 963.34 and 511.88

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Solution

The fourth proportional to 698.46, 963.34 and 511.88 is: 706.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.46 : 963.34 = 511.88 : x
  2. Step 2: Convert to fraction form
    698.46/963.34 = 511.88/x
  3. Step 3: Cross multiply
    698.46x = 963.34 × 511.88
  4. Step 4: Simplify right side
    698.46x = 493,111.92
  5. Step 5: Solve for x
    x = 493,111.92/698.46
  6. Step 6: Final answer
    x = 706.00

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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.