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Finding the Fourth Proportional to 772.02, 1,064.80 and 535.97

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Solution

The fourth proportional to 772.02, 1,064.80 and 535.97 is: 739.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.02 : 1,064.80 = 535.97 : x
  2. Step 2: Convert to fraction form
    772.02/1,064.80 = 535.97/x
  3. Step 3: Cross multiply
    772.02x = 1,064.80 × 535.97
  4. Step 4: Simplify right side
    772.02x = 570,695.18
  5. Step 5: Solve for x
    x = 570,695.18/772.02
  6. Step 6: Final answer
    x = 739.22

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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.