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Finding the Fourth Proportional to 697.80, 1,045.82 and 408.52

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Solution

The fourth proportional to 697.80, 1,045.82 and 408.52 is: 612.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.80 : 1,045.82 = 408.52 : x
  2. Step 2: Convert to fraction form
    697.80/1,045.82 = 408.52/x
  3. Step 3: Cross multiply
    697.80x = 1,045.82 × 408.52
  4. Step 4: Simplify right side
    697.80x = 427,238.39
  5. Step 5: Solve for x
    x = 427,238.39/697.80
  6. Step 6: Final answer
    x = 612.26

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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.