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Finding the Fourth Proportional to 697.65, 1,046.45 and 177.62

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Solution

The fourth proportional to 697.65, 1,046.45 and 177.62 is: 266.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.65 : 1,046.45 = 177.62 : x
  2. Step 2: Convert to fraction form
    697.65/1,046.45 = 177.62/x
  3. Step 3: Cross multiply
    697.65x = 1,046.45 × 177.62
  4. Step 4: Simplify right side
    697.65x = 185,864.33
  5. Step 5: Solve for x
    x = 185,864.33/697.65
  6. Step 6: Final answer
    x = 266.41

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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.