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Finding the Fourth Proportional to 697.18, 1,046.11 and 493.06

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Solution

The fourth proportional to 697.18, 1,046.11 and 493.06 is: 739.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.18 : 1,046.11 = 493.06 : x
  2. Step 2: Convert to fraction form
    697.18/1,046.11 = 493.06/x
  3. Step 3: Cross multiply
    697.18x = 1,046.11 × 493.06
  4. Step 4: Simplify right side
    697.18x = 515,795.00
  5. Step 5: Solve for x
    x = 515,795.00/697.18
  6. Step 6: Final answer
    x = 739.83

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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.