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Finding the Fourth Proportional to 697.38, 1,043.40 and 466.80

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Solution

The fourth proportional to 697.38, 1,043.40 and 466.80 is: 698.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.38 : 1,043.40 = 466.80 : x
  2. Step 2: Convert to fraction form
    697.38/1,043.40 = 466.80/x
  3. Step 3: Cross multiply
    697.38x = 1,043.40 × 466.80
  4. Step 4: Simplify right side
    697.38x = 487,059.12
  5. Step 5: Solve for x
    x = 487,059.12/697.38
  6. Step 6: Final answer
    x = 698.41

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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.