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Finding the Fourth Proportional to 834.48, 1,150.56 and 572.16

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Solution

The fourth proportional to 834.48, 1,150.56 and 572.16 is: 788.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.48 : 1,150.56 = 572.16 : x
  2. Step 2: Convert to fraction form
    834.48/1,150.56 = 572.16/x
  3. Step 3: Cross multiply
    834.48x = 1,150.56 × 572.16
  4. Step 4: Simplify right side
    834.48x = 658,304.41
  5. Step 5: Solve for x
    x = 658,304.41/834.48
  6. Step 6: Final answer
    x = 788.88

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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.