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Finding the Fourth Proportional to 883.46, 1,219.14 and 490.50

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Solution

The fourth proportional to 883.46, 1,219.14 and 490.50 is: 676.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.46 : 1,219.14 = 490.50 : x
  2. Step 2: Convert to fraction form
    883.46/1,219.14 = 490.50/x
  3. Step 3: Cross multiply
    883.46x = 1,219.14 × 490.50
  4. Step 4: Simplify right side
    883.46x = 597,988.17
  5. Step 5: Solve for x
    x = 597,988.17/883.46
  6. Step 6: Final answer
    x = 676.87

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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.