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Finding the Fourth Proportional to 784.76, 1,080.39 and 626.81

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Solution

The fourth proportional to 784.76, 1,080.39 and 626.81 is: 862.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.76 : 1,080.39 = 626.81 : x
  2. Step 2: Convert to fraction form
    784.76/1,080.39 = 626.81/x
  3. Step 3: Cross multiply
    784.76x = 1,080.39 × 626.81
  4. Step 4: Simplify right side
    784.76x = 677,199.26
  5. Step 5: Solve for x
    x = 677,199.26/784.76
  6. Step 6: Final answer
    x = 862.94

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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.