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Finding the Fourth Proportional to 697.86, 1,046.22 and 307.58

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Solution

The fourth proportional to 697.86, 1,046.22 and 307.58 is: 461.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.86 : 1,046.22 = 307.58 : x
  2. Step 2: Convert to fraction form
    697.86/1,046.22 = 307.58/x
  3. Step 3: Cross multiply
    697.86x = 1,046.22 × 307.58
  4. Step 4: Simplify right side
    697.86x = 321,791.12
  5. Step 5: Solve for x
    x = 321,791.12/697.86
  6. Step 6: Final answer
    x = 461.11

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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.