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Finding the Fourth Proportional to 697.53, 1,046.41 and 286.56

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Solution

The fourth proportional to 697.53, 1,046.41 and 286.56 is: 429.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.53 : 1,046.41 = 286.56 : x
  2. Step 2: Convert to fraction form
    697.53/1,046.41 = 286.56/x
  3. Step 3: Cross multiply
    697.53x = 1,046.41 × 286.56
  4. Step 4: Simplify right side
    697.53x = 299,854.02
  5. Step 5: Solve for x
    x = 299,854.02/697.53
  6. Step 6: Final answer
    x = 429.88

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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.