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Finding the Fourth Proportional to 785.11, 1,083.05 and 536.44

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Solution

The fourth proportional to 785.11, 1,083.05 and 536.44 is: 740.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.11 : 1,083.05 = 536.44 : x
  2. Step 2: Convert to fraction form
    785.11/1,083.05 = 536.44/x
  3. Step 3: Cross multiply
    785.11x = 1,083.05 × 536.44
  4. Step 4: Simplify right side
    785.11x = 580,987.44
  5. Step 5: Solve for x
    x = 580,987.44/785.11
  6. Step 6: Final answer
    x = 740.01

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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.