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Finding the Fourth Proportional to 771.07, 1,064.59 and 593.71

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Solution

The fourth proportional to 771.07, 1,064.59 and 593.71 is: 819.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.07 : 1,064.59 = 593.71 : x
  2. Step 2: Convert to fraction form
    771.07/1,064.59 = 593.71/x
  3. Step 3: Cross multiply
    771.07x = 1,064.59 × 593.71
  4. Step 4: Simplify right side
    771.07x = 632,057.73
  5. Step 5: Solve for x
    x = 632,057.73/771.07
  6. Step 6: Final answer
    x = 819.72

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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.