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Finding the Fourth Proportional to 688.51, 950.49 and 564.44

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Solution

The fourth proportional to 688.51, 950.49 and 564.44 is: 779.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.51 : 950.49 = 564.44 : x
  2. Step 2: Convert to fraction form
    688.51/950.49 = 564.44/x
  3. Step 3: Cross multiply
    688.51x = 950.49 × 564.44
  4. Step 4: Simplify right side
    688.51x = 536,496.95
  5. Step 5: Solve for x
    x = 536,496.95/688.51
  6. Step 6: Final answer
    x = 779.22

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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.