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Finding the Fourth Proportional to 697.87, 1,046.89 and 307.70

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Solution

The fourth proportional to 697.87, 1,046.89 and 307.70 is: 461.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.87 : 1,046.89 = 307.70 : x
  2. Step 2: Convert to fraction form
    697.87/1,046.89 = 307.70/x
  3. Step 3: Cross multiply
    697.87x = 1,046.89 × 307.70
  4. Step 4: Simplify right side
    697.87x = 322,131.58
  5. Step 5: Solve for x
    x = 322,131.58/697.87
  6. Step 6: Final answer
    x = 461.59

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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.