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Finding the Fourth Proportional to 725.09, 1,088.33 and 314.35

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Solution

The fourth proportional to 725.09, 1,088.33 and 314.35 is: 471.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.09 : 1,088.33 = 314.35 : x
  2. Step 2: Convert to fraction form
    725.09/1,088.33 = 314.35/x
  3. Step 3: Cross multiply
    725.09x = 1,088.33 × 314.35
  4. Step 4: Simplify right side
    725.09x = 342,112.24
  5. Step 5: Solve for x
    x = 342,112.24/725.09
  6. Step 6: Final answer
    x = 471.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.