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Finding the Fourth Proportional to 883.92, 1,323.12 and 558.80

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Solution

The fourth proportional to 883.92, 1,323.12 and 558.80 is: 836.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.92 : 1,323.12 = 558.80 : x
  2. Step 2: Convert to fraction form
    883.92/1,323.12 = 558.80/x
  3. Step 3: Cross multiply
    883.92x = 1,323.12 × 558.80
  4. Step 4: Simplify right side
    883.92x = 739,359.46
  5. Step 5: Solve for x
    x = 739,359.46/883.92
  6. Step 6: Final answer
    x = 836.46

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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.