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Finding the Fourth Proportional to 997.17, 1,496.03 and 380.55

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Solution

The fourth proportional to 997.17, 1,496.03 and 380.55 is: 570.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.17 : 1,496.03 = 380.55 : x
  2. Step 2: Convert to fraction form
    997.17/1,496.03 = 380.55/x
  3. Step 3: Cross multiply
    997.17x = 1,496.03 × 380.55
  4. Step 4: Simplify right side
    997.17x = 569,312.31
  5. Step 5: Solve for x
    x = 569,312.31/997.17
  6. Step 6: Final answer
    x = 570.93

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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.