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Finding the Fourth Proportional to 698.19, 961.08 and 603.61

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Solution

The fourth proportional to 698.19, 961.08 and 603.61 is: 830.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.19 : 961.08 = 603.61 : x
  2. Step 2: Convert to fraction form
    698.19/961.08 = 603.61/x
  3. Step 3: Cross multiply
    698.19x = 961.08 × 603.61
  4. Step 4: Simplify right side
    698.19x = 580,121.63
  5. Step 5: Solve for x
    x = 580,121.63/698.19
  6. Step 6: Final answer
    x = 830.90

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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.