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Finding the Fourth Proportional to 784.31, 1,083.15 and 536.27

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Solution

The fourth proportional to 784.31, 1,083.15 and 536.27 is: 740.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.31 : 1,083.15 = 536.27 : x
  2. Step 2: Convert to fraction form
    784.31/1,083.15 = 536.27/x
  3. Step 3: Cross multiply
    784.31x = 1,083.15 × 536.27
  4. Step 4: Simplify right side
    784.31x = 580,855.43
  5. Step 5: Solve for x
    x = 580,855.43/784.31
  6. Step 6: Final answer
    x = 740.60

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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.