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Finding the Fourth Proportional to 671.94, 926.01 and 561.78

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Solution

The fourth proportional to 671.94, 926.01 and 561.78 is: 774.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.94 : 926.01 = 561.78 : x
  2. Step 2: Convert to fraction form
    671.94/926.01 = 561.78/x
  3. Step 3: Cross multiply
    671.94x = 926.01 × 561.78
  4. Step 4: Simplify right side
    671.94x = 520,213.90
  5. Step 5: Solve for x
    x = 520,213.90/671.94
  6. Step 6: Final answer
    x = 774.20

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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.