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Finding the Fourth Proportional to 697.69, 962.36 and 448.62

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Solution

The fourth proportional to 697.69, 962.36 and 448.62 is: 618.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.69 : 962.36 = 448.62 : x
  2. Step 2: Convert to fraction form
    697.69/962.36 = 448.62/x
  3. Step 3: Cross multiply
    697.69x = 962.36 × 448.62
  4. Step 4: Simplify right side
    697.69x = 431,726.89
  5. Step 5: Solve for x
    x = 431,726.89/697.69
  6. Step 6: Final answer
    x = 618.79

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1.5x scale

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.