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Finding the Fourth Proportional to 883.48, 1,219.18 and 490.52

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Solution

The fourth proportional to 883.48, 1,219.18 and 490.52 is: 676.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.48 : 1,219.18 = 490.52 : x
  2. Step 2: Convert to fraction form
    883.48/1,219.18 = 490.52/x
  3. Step 3: Cross multiply
    883.48x = 1,219.18 × 490.52
  4. Step 4: Simplify right side
    883.48x = 598,032.17
  5. Step 5: Solve for x
    x = 598,032.17/883.48
  6. Step 6: Final answer
    x = 676.91

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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.