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Finding the Fourth Proportional to 689.22, 950.04 and 522.76

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Solution

The fourth proportional to 689.22, 950.04 and 522.76 is: 720.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.22 : 950.04 = 522.76 : x
  2. Step 2: Convert to fraction form
    689.22/950.04 = 522.76/x
  3. Step 3: Cross multiply
    689.22x = 950.04 × 522.76
  4. Step 4: Simplify right side
    689.22x = 496,642.91
  5. Step 5: Solve for x
    x = 496,642.91/689.22
  6. Step 6: Final answer
    x = 720.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.