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Finding the Fourth Proportional to 883.02, 1,324.78 and 298.07

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Solution

The fourth proportional to 883.02, 1,324.78 and 298.07 is: 447.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.02 : 1,324.78 = 298.07 : x
  2. Step 2: Convert to fraction form
    883.02/1,324.78 = 298.07/x
  3. Step 3: Cross multiply
    883.02x = 1,324.78 × 298.07
  4. Step 4: Simplify right side
    883.02x = 394,877.17
  5. Step 5: Solve for x
    x = 394,877.17/883.02
  6. Step 6: Final answer
    x = 447.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.