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Finding the Fourth Proportional to 822.20, 1,232.64 and 561.55

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Solution

The fourth proportional to 822.20, 1,232.64 and 561.55 is: 841.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.20 : 1,232.64 = 561.55 : x
  2. Step 2: Convert to fraction form
    822.20/1,232.64 = 561.55/x
  3. Step 3: Cross multiply
    822.20x = 1,232.64 × 561.55
  4. Step 4: Simplify right side
    822.20x = 692,188.99
  5. Step 5: Solve for x
    x = 692,188.99/822.20
  6. Step 6: Final answer
    x = 841.87

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Why These Related Problems?

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