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Finding the Fourth Proportional to 834.44, 1,150.26 and 571.64

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Solution

The fourth proportional to 834.44, 1,150.26 and 571.64 is: 788.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.44 : 1,150.26 = 571.64 : x
  2. Step 2: Convert to fraction form
    834.44/1,150.26 = 571.64/x
  3. Step 3: Cross multiply
    834.44x = 1,150.26 × 571.64
  4. Step 4: Simplify right side
    834.44x = 657,534.63
  5. Step 5: Solve for x
    x = 657,534.63/834.44
  6. Step 6: Final answer
    x = 788.00

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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.