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Finding the Fourth Proportional to 698.50, 963.52 and 511.76

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Solution

The fourth proportional to 698.50, 963.52 and 511.76 is: 705.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.50 : 963.52 = 511.76 : x
  2. Step 2: Convert to fraction form
    698.50/963.52 = 511.76/x
  3. Step 3: Cross multiply
    698.50x = 963.52 × 511.76
  4. Step 4: Simplify right side
    698.50x = 493,091.00
  5. Step 5: Solve for x
    x = 493,091.00/698.50
  6. Step 6: Final answer
    x = 705.93

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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.