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Finding the Fourth Proportional to 697.56, 1,046.42 and 286.46

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Solution

The fourth proportional to 697.56, 1,046.42 and 286.46 is: 429.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.56 : 1,046.42 = 286.46 : x
  2. Step 2: Convert to fraction form
    697.56/1,046.42 = 286.46/x
  3. Step 3: Cross multiply
    697.56x = 1,046.42 × 286.46
  4. Step 4: Simplify right side
    697.56x = 299,758.75
  5. Step 5: Solve for x
    x = 299,758.75/697.56
  6. Step 6: Final answer
    x = 429.72

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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.