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Finding the Fourth Proportional to 883.54, 1,219.30 and 490.58

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Solution

The fourth proportional to 883.54, 1,219.30 and 490.58 is: 677.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.54 : 1,219.30 = 490.58 : x
  2. Step 2: Convert to fraction form
    883.54/1,219.30 = 490.58/x
  3. Step 3: Cross multiply
    883.54x = 1,219.30 × 490.58
  4. Step 4: Simplify right side
    883.54x = 598,164.19
  5. Step 5: Solve for x
    x = 598,164.19/883.54
  6. Step 6: Final answer
    x = 677.01

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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.