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Finding the Fourth Proportional to 720.61, 1,081.32 and 310.15

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Solution

The fourth proportional to 720.61, 1,081.32 and 310.15 is: 465.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.61 : 1,081.32 = 310.15 : x
  2. Step 2: Convert to fraction form
    720.61/1,081.32 = 310.15/x
  3. Step 3: Cross multiply
    720.61x = 1,081.32 × 310.15
  4. Step 4: Simplify right side
    720.61x = 335,371.40
  5. Step 5: Solve for x
    x = 335,371.40/720.61
  6. Step 6: Final answer
    x = 465.40

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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.