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Finding the Fourth Proportional to 997.42, 1,376.12 and 555.24

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Solution

The fourth proportional to 997.42, 1,376.12 and 555.24 is: 766.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.42 : 1,376.12 = 555.24 : x
  2. Step 2: Convert to fraction form
    997.42/1,376.12 = 555.24/x
  3. Step 3: Cross multiply
    997.42x = 1,376.12 × 555.24
  4. Step 4: Simplify right side
    997.42x = 764,076.87
  5. Step 5: Solve for x
    x = 764,076.87/997.42
  6. Step 6: Final answer
    x = 766.05

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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.