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Finding the Fourth Proportional to 772.04, 1,157.96 and 479.57

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Solution

The fourth proportional to 772.04, 1,157.96 and 479.57 is: 719.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.04 : 1,157.96 = 479.57 : x
  2. Step 2: Convert to fraction form
    772.04/1,157.96 = 479.57/x
  3. Step 3: Cross multiply
    772.04x = 1,157.96 × 479.57
  4. Step 4: Simplify right side
    772.04x = 555,318.29
  5. Step 5: Solve for x
    x = 555,318.29/772.04
  6. Step 6: Final answer
    x = 719.28

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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.