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Finding the Fourth Proportional to 689.75, 950.24 and 564.68

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Solution

The fourth proportional to 689.75, 950.24 and 564.68 is: 777.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.75 : 950.24 = 564.68 : x
  2. Step 2: Convert to fraction form
    689.75/950.24 = 564.68/x
  3. Step 3: Cross multiply
    689.75x = 950.24 × 564.68
  4. Step 4: Simplify right side
    689.75x = 536,585.31
  5. Step 5: Solve for x
    x = 536,585.31/689.75
  6. Step 6: Final answer
    x = 777.94

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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.