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Finding the Fourth Proportional to 883.62, 1,219.23 and 490.59

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Solution

The fourth proportional to 883.62, 1,219.23 and 490.59 is: 676.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.62 : 1,219.23 = 490.59 : x
  2. Step 2: Convert to fraction form
    883.62/1,219.23 = 490.59/x
  3. Step 3: Cross multiply
    883.62x = 1,219.23 × 490.59
  4. Step 4: Simplify right side
    883.62x = 598,142.05
  5. Step 5: Solve for x
    x = 598,142.05/883.62
  6. Step 6: Final answer
    x = 676.92

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1.5x scale

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.