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Finding the Fourth Proportional to 772.98, 1,066.41 and 493.14

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Solution

The fourth proportional to 772.98, 1,066.41 and 493.14 is: 680.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.98 : 1,066.41 = 493.14 : x
  2. Step 2: Convert to fraction form
    772.98/1,066.41 = 493.14/x
  3. Step 3: Cross multiply
    772.98x = 1,066.41 × 493.14
  4. Step 4: Simplify right side
    772.98x = 525,889.43
  5. Step 5: Solve for x
    x = 525,889.43/772.98
  6. Step 6: Final answer
    x = 680.34

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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.