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Finding the Fourth Proportional to 883.69, 1,219.49 and 490.75

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Solution

The fourth proportional to 883.69, 1,219.49 and 490.75 is: 677.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.69 : 1,219.49 = 490.75 : x
  2. Step 2: Convert to fraction form
    883.69/1,219.49 = 490.75/x
  3. Step 3: Cross multiply
    883.69x = 1,219.49 × 490.75
  4. Step 4: Simplify right side
    883.69x = 598,461.06
  5. Step 5: Solve for x
    x = 598,461.06/883.69
  6. Step 6: Final answer
    x = 677.23

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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.