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Finding the Fourth Proportional to 648.51, 893.91 and 594.88

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Solution

The fourth proportional to 648.51, 893.91 and 594.88 is: 819.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.51 : 893.91 = 594.88 : x
  2. Step 2: Convert to fraction form
    648.51/893.91 = 594.88/x
  3. Step 3: Cross multiply
    648.51x = 893.91 × 594.88
  4. Step 4: Simplify right side
    648.51x = 531,767.50
  5. Step 5: Solve for x
    x = 531,767.50/648.51
  6. Step 6: Final answer
    x = 819.99

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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.