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Finding the Fourth Proportional to 697.32, 1,043.96 and 480.24

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Solution

The fourth proportional to 697.32, 1,043.96 and 480.24 is: 718.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.32 : 1,043.96 = 480.24 : x
  2. Step 2: Convert to fraction form
    697.32/1,043.96 = 480.24/x
  3. Step 3: Cross multiply
    697.32x = 1,043.96 × 480.24
  4. Step 4: Simplify right side
    697.32x = 501,348.95
  5. Step 5: Solve for x
    x = 501,348.95/697.32
  6. Step 6: Final answer
    x = 718.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.