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Finding the Fourth Proportional to 561.84, 843.64 and 537.20

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Solution

The fourth proportional to 561.84, 843.64 and 537.20 is: 806.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.84 : 843.64 = 537.20 : x
  2. Step 2: Convert to fraction form
    561.84/843.64 = 537.20/x
  3. Step 3: Cross multiply
    561.84x = 843.64 × 537.20
  4. Step 4: Simplify right side
    561.84x = 453,203.41
  5. Step 5: Solve for x
    x = 453,203.41/561.84
  6. Step 6: Final answer
    x = 806.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.