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Finding the Fourth Proportional to 697.11, 1,046.07 and 389.22

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Solution

The fourth proportional to 697.11, 1,046.07 and 389.22 is: 584.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.11 : 1,046.07 = 389.22 : x
  2. Step 2: Convert to fraction form
    697.11/1,046.07 = 389.22/x
  3. Step 3: Cross multiply
    697.11x = 1,046.07 × 389.22
  4. Step 4: Simplify right side
    697.11x = 407,151.37
  5. Step 5: Solve for x
    x = 407,151.37/697.11
  6. Step 6: Final answer
    x = 584.06

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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.