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Finding the Fourth Proportional to 883.90, 1,219.65 and 490.87

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Solution

The fourth proportional to 883.90, 1,219.65 and 490.87 is: 677.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.90 : 1,219.65 = 490.87 : x
  2. Step 2: Convert to fraction form
    883.90/1,219.65 = 490.87/x
  3. Step 3: Cross multiply
    883.90x = 1,219.65 × 490.87
  4. Step 4: Simplify right side
    883.90x = 598,689.60
  5. Step 5: Solve for x
    x = 598,689.60/883.90
  6. Step 6: Final answer
    x = 677.33

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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.