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Finding the Fourth Proportional to 698.19, 1,046.07 and 622.86

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Solution

The fourth proportional to 698.19, 1,046.07 and 622.86 is: 933.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.19 : 1,046.07 = 622.86 : x
  2. Step 2: Convert to fraction form
    698.19/1,046.07 = 622.86/x
  3. Step 3: Cross multiply
    698.19x = 1,046.07 × 622.86
  4. Step 4: Simplify right side
    698.19x = 651,555.16
  5. Step 5: Solve for x
    x = 651,555.16/698.19
  6. Step 6: Final answer
    x = 933.21

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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.