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Finding the Fourth Proportional to 698.72, 964.48 and 465.92

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Solution

The fourth proportional to 698.72, 964.48 and 465.92 is: 643.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.72 : 964.48 = 465.92 : x
  2. Step 2: Convert to fraction form
    698.72/964.48 = 465.92/x
  3. Step 3: Cross multiply
    698.72x = 964.48 × 465.92
  4. Step 4: Simplify right side
    698.72x = 449,370.52
  5. Step 5: Solve for x
    x = 449,370.52/698.72
  6. Step 6: Final answer
    x = 643.13

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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.