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Finding the Fourth Proportional to 697.59, 1,046.34 and 177.59

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Solution

The fourth proportional to 697.59, 1,046.34 and 177.59 is: 266.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.59 : 1,046.34 = 177.59 : x
  2. Step 2: Convert to fraction form
    697.59/1,046.34 = 177.59/x
  3. Step 3: Cross multiply
    697.59x = 1,046.34 × 177.59
  4. Step 4: Simplify right side
    697.59x = 185,814.29
  5. Step 5: Solve for x
    x = 185,814.29/697.59
  6. Step 6: Final answer
    x = 266.37

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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.