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Finding the Fourth Proportional to 697.62, 962.65 and 448.93

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Solution

The fourth proportional to 697.62, 962.65 and 448.93 is: 619.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.62 : 962.65 = 448.93 : x
  2. Step 2: Convert to fraction form
    697.62/962.65 = 448.93/x
  3. Step 3: Cross multiply
    697.62x = 962.65 × 448.93
  4. Step 4: Simplify right side
    697.62x = 432,162.46
  5. Step 5: Solve for x
    x = 432,162.46/697.62
  6. Step 6: Final answer
    x = 619.48

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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.