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Finding the Fourth Proportional to 772.24, 1,064.82 and 492.02

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Solution

The fourth proportional to 772.24, 1,064.82 and 492.02 is: 678.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.24 : 1,064.82 = 492.02 : x
  2. Step 2: Convert to fraction form
    772.24/1,064.82 = 492.02/x
  3. Step 3: Cross multiply
    772.24x = 1,064.82 × 492.02
  4. Step 4: Simplify right side
    772.24x = 523,912.74
  5. Step 5: Solve for x
    x = 523,912.74/772.24
  6. Step 6: Final answer
    x = 678.43

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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.