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Finding the Fourth Proportional to 640.72, 884.55 and 596.98

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Solution

The fourth proportional to 640.72, 884.55 and 596.98 is: 824.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.72 : 884.55 = 596.98 : x
  2. Step 2: Convert to fraction form
    640.72/884.55 = 596.98/x
  3. Step 3: Cross multiply
    640.72x = 884.55 × 596.98
  4. Step 4: Simplify right side
    640.72x = 528,058.66
  5. Step 5: Solve for x
    x = 528,058.66/640.72
  6. Step 6: Final answer
    x = 824.16

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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.