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Finding the Fourth Proportional to 725.92, 1,088.96 and 417.72

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Solution

The fourth proportional to 725.92, 1,088.96 and 417.72 is: 626.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.92 : 1,088.96 = 417.72 : x
  2. Step 2: Convert to fraction form
    725.92/1,088.96 = 417.72/x
  3. Step 3: Cross multiply
    725.92x = 1,088.96 × 417.72
  4. Step 4: Simplify right side
    725.92x = 454,880.37
  5. Step 5: Solve for x
    x = 454,880.37/725.92
  6. Step 6: Final answer
    x = 626.63

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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.