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Finding the Fourth Proportional to 720.99, 1,079.46 and 476.78

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Solution

The fourth proportional to 720.99, 1,079.46 and 476.78 is: 713.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.99 : 1,079.46 = 476.78 : x
  2. Step 2: Convert to fraction form
    720.99/1,079.46 = 476.78/x
  3. Step 3: Cross multiply
    720.99x = 1,079.46 × 476.78
  4. Step 4: Simplify right side
    720.99x = 514,659.54
  5. Step 5: Solve for x
    x = 514,659.54/720.99
  6. Step 6: Final answer
    x = 713.82

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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.