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Finding the Fourth Proportional to 697.02, 1,046.44 and 389.02

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Solution

The fourth proportional to 697.02, 1,046.44 and 389.02 is: 584.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.02 : 1,046.44 = 389.02 : x
  2. Step 2: Convert to fraction form
    697.02/1,046.44 = 389.02/x
  3. Step 3: Cross multiply
    697.02x = 1,046.44 × 389.02
  4. Step 4: Simplify right side
    697.02x = 407,086.09
  5. Step 5: Solve for x
    x = 407,086.09/697.02
  6. Step 6: Final answer
    x = 584.04

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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.