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Finding the Fourth Proportional to 697.35, 1,046.22 and 286.47

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Solution

The fourth proportional to 697.35, 1,046.22 and 286.47 is: 429.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.35 : 1,046.22 = 286.47 : x
  2. Step 2: Convert to fraction form
    697.35/1,046.22 = 286.47/x
  3. Step 3: Cross multiply
    697.35x = 1,046.22 × 286.47
  4. Step 4: Simplify right side
    697.35x = 299,710.64
  5. Step 5: Solve for x
    x = 299,710.64/697.35
  6. Step 6: Final answer
    x = 429.79

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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.