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Finding the Fourth Proportional to 697.90, 1,045.26 and 401.02

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Solution

The fourth proportional to 697.90, 1,045.26 and 401.02 is: 600.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.90 : 1,045.26 = 401.02 : x
  2. Step 2: Convert to fraction form
    697.90/1,045.26 = 401.02/x
  3. Step 3: Cross multiply
    697.90x = 1,045.26 × 401.02
  4. Step 4: Simplify right side
    697.90x = 419,170.17
  5. Step 5: Solve for x
    x = 419,170.17/697.90
  6. Step 6: Final answer
    x = 600.62

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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.