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Finding the Fourth Proportional to 784.28, 1,080.72 and 665.88

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Solution

The fourth proportional to 784.28, 1,080.72 and 665.88 is: 917.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.28 : 1,080.72 = 665.88 : x
  2. Step 2: Convert to fraction form
    784.28/1,080.72 = 665.88/x
  3. Step 3: Cross multiply
    784.28x = 1,080.72 × 665.88
  4. Step 4: Simplify right side
    784.28x = 719,629.83
  5. Step 5: Solve for x
    x = 719,629.83/784.28
  6. Step 6: Final answer
    x = 917.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.