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Finding the Fourth Proportional to 648.86, 894.91 and 459.47

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Solution

The fourth proportional to 648.86, 894.91 and 459.47 is: 633.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.86 : 894.91 = 459.47 : x
  2. Step 2: Convert to fraction form
    648.86/894.91 = 459.47/x
  3. Step 3: Cross multiply
    648.86x = 894.91 × 459.47
  4. Step 4: Simplify right side
    648.86x = 411,184.30
  5. Step 5: Solve for x
    x = 411,184.30/648.86
  6. Step 6: Final answer
    x = 633.70

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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.