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Finding the Fourth Proportional to 883.46, 1,219.10 and 490.44

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Solution

The fourth proportional to 883.46, 1,219.10 and 490.44 is: 676.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.46 : 1,219.10 = 490.44 : x
  2. Step 2: Convert to fraction form
    883.46/1,219.10 = 490.44/x
  3. Step 3: Cross multiply
    883.46x = 1,219.10 × 490.44
  4. Step 4: Simplify right side
    883.46x = 597,895.40
  5. Step 5: Solve for x
    x = 597,895.40/883.46
  6. Step 6: Final answer
    x = 676.77

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Half scale
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Double scale
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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.