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Finding the Fourth Proportional to 698.93, 1,046.72 and 667.19

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Solution

The fourth proportional to 698.93, 1,046.72 and 667.19 is: 999.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.93 : 1,046.72 = 667.19 : x
  2. Step 2: Convert to fraction form
    698.93/1,046.72 = 667.19/x
  3. Step 3: Cross multiply
    698.93x = 1,046.72 × 667.19
  4. Step 4: Simplify right side
    698.93x = 698,359.51
  5. Step 5: Solve for x
    x = 698,359.51/698.93
  6. Step 6: Final answer
    x = 999.19

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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.