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Finding the Fourth Proportional to 697.66, 1,046.49 and 286.80

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Solution

The fourth proportional to 697.66, 1,046.49 and 286.80 is: 430.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.66 : 1,046.49 = 286.80 : x
  2. Step 2: Convert to fraction form
    697.66/1,046.49 = 286.80/x
  3. Step 3: Cross multiply
    697.66x = 1,046.49 × 286.80
  4. Step 4: Simplify right side
    697.66x = 300,133.33
  5. Step 5: Solve for x
    x = 300,133.33/697.66
  6. Step 6: Final answer
    x = 430.20

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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.