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Finding the Fourth Proportional to 648.62, 893.86 and 473.66

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Solution

The fourth proportional to 648.62, 893.86 and 473.66 is: 652.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.62 : 893.86 = 473.66 : x
  2. Step 2: Convert to fraction form
    648.62/893.86 = 473.66/x
  3. Step 3: Cross multiply
    648.62x = 893.86 × 473.66
  4. Step 4: Simplify right side
    648.62x = 423,380.07
  5. Step 5: Solve for x
    x = 423,380.07/648.62
  6. Step 6: Final answer
    x = 652.74

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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.