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Finding the Fourth Proportional to 772.47, 1,065.56 and 523.80

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Solution

The fourth proportional to 772.47, 1,065.56 and 523.80 is: 722.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.47 : 1,065.56 = 523.80 : x
  2. Step 2: Convert to fraction form
    772.47/1,065.56 = 523.80/x
  3. Step 3: Cross multiply
    772.47x = 1,065.56 × 523.80
  4. Step 4: Simplify right side
    772.47x = 558,137.71
  5. Step 5: Solve for x
    x = 558,137.71/772.47
  6. Step 6: Final answer
    x = 722.54

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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.