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Finding the Fourth Proportional to 883.92, 1,219.28 and 588.88

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Solution

The fourth proportional to 883.92, 1,219.28 and 588.88 is: 812.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.92 : 1,219.28 = 588.88 : x
  2. Step 2: Convert to fraction form
    883.92/1,219.28 = 588.88/x
  3. Step 3: Cross multiply
    883.92x = 1,219.28 × 588.88
  4. Step 4: Simplify right side
    883.92x = 718,009.61
  5. Step 5: Solve for x
    x = 718,009.61/883.92
  6. Step 6: Final answer
    x = 812.30

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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.