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Finding the Fourth Proportional to 720.12, 1,078.56 and 504.66

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Solution

The fourth proportional to 720.12, 1,078.56 and 504.66 is: 755.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.12 : 1,078.56 = 504.66 : x
  2. Step 2: Convert to fraction form
    720.12/1,078.56 = 504.66/x
  3. Step 3: Cross multiply
    720.12x = 1,078.56 × 504.66
  4. Step 4: Simplify right side
    720.12x = 544,306.09
  5. Step 5: Solve for x
    x = 544,306.09/720.12
  6. Step 6: Final answer
    x = 755.85

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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.