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Finding the Fourth Proportional to 725.85, 1,088.93 and 315.05

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Solution

The fourth proportional to 725.85, 1,088.93 and 315.05 is: 472.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.85 : 1,088.93 = 315.05 : x
  2. Step 2: Convert to fraction form
    725.85/1,088.93 = 315.05/x
  3. Step 3: Cross multiply
    725.85x = 1,088.93 × 315.05
  4. Step 4: Simplify right side
    725.85x = 343,067.40
  5. Step 5: Solve for x
    x = 343,067.40/725.85
  6. Step 6: Final answer
    x = 472.64

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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.