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Finding the Fourth Proportional to 697.59, 1,046.99 and 286.72

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Solution

The fourth proportional to 697.59, 1,046.99 and 286.72 is: 430.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.59 : 1,046.99 = 286.72 : x
  2. Step 2: Convert to fraction form
    697.59/1,046.99 = 286.72/x
  3. Step 3: Cross multiply
    697.59x = 1,046.99 × 286.72
  4. Step 4: Simplify right side
    697.59x = 300,192.97
  5. Step 5: Solve for x
    x = 300,192.97/697.59
  6. Step 6: Final answer
    x = 430.33

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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.