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Finding the Fourth Proportional to 720.06, 1,078.02 and 411.18

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Solution

The fourth proportional to 720.06, 1,078.02 and 411.18 is: 615.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.06 : 1,078.02 = 411.18 : x
  2. Step 2: Convert to fraction form
    720.06/1,078.02 = 411.18/x
  3. Step 3: Cross multiply
    720.06x = 1,078.02 × 411.18
  4. Step 4: Simplify right side
    720.06x = 443,260.26
  5. Step 5: Solve for x
    x = 443,260.26/720.06
  6. Step 6: Final answer
    x = 615.59

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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.