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Finding the Fourth Proportional to 697.39, 962.13 and 448.66

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Solution

The fourth proportional to 697.39, 962.13 and 448.66 is: 618.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.39 : 962.13 = 448.66 : x
  2. Step 2: Convert to fraction form
    697.39/962.13 = 448.66/x
  3. Step 3: Cross multiply
    697.39x = 962.13 × 448.66
  4. Step 4: Simplify right side
    697.39x = 431,669.25
  5. Step 5: Solve for x
    x = 431,669.25/697.39
  6. Step 6: Final answer
    x = 618.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.