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Finding the Fourth Proportional to 771.31, 1,064.82 and 522.82

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Solution

The fourth proportional to 771.31, 1,064.82 and 522.82 is: 721.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.31 : 1,064.82 = 522.82 : x
  2. Step 2: Convert to fraction form
    771.31/1,064.82 = 522.82/x
  3. Step 3: Cross multiply
    771.31x = 1,064.82 × 522.82
  4. Step 4: Simplify right side
    771.31x = 556,709.19
  5. Step 5: Solve for x
    x = 556,709.19/771.31
  6. Step 6: Final answer
    x = 721.77

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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.