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Finding the Fourth Proportional to 698.16, 1,046.28 and 409.68

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Solution

The fourth proportional to 698.16, 1,046.28 and 409.68 is: 613.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.16 : 1,046.28 = 409.68 : x
  2. Step 2: Convert to fraction form
    698.16/1,046.28 = 409.68/x
  3. Step 3: Cross multiply
    698.16x = 1,046.28 × 409.68
  4. Step 4: Simplify right side
    698.16x = 428,639.99
  5. Step 5: Solve for x
    x = 428,639.99/698.16
  6. Step 6: Final answer
    x = 613.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.