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Finding the Fourth Proportional to 725.44, 1,088.82 and 564.16

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Solution

The fourth proportional to 725.44, 1,088.82 and 564.16 is: 846.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.44 : 1,088.82 = 564.16 : x
  2. Step 2: Convert to fraction form
    725.44/1,088.82 = 564.16/x
  3. Step 3: Cross multiply
    725.44x = 1,088.82 × 564.16
  4. Step 4: Simplify right side
    725.44x = 614,268.69
  5. Step 5: Solve for x
    x = 614,268.69/725.44
  6. Step 6: Final answer
    x = 846.75

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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.