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Finding the Fourth Proportional to 850.53, 1,268.31 and 783.21

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Solution

The fourth proportional to 850.53, 1,268.31 and 783.21 is: 1,167.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.53 : 1,268.31 = 783.21 : x
  2. Step 2: Convert to fraction form
    850.53/1,268.31 = 783.21/x
  3. Step 3: Cross multiply
    850.53x = 1,268.31 × 783.21
  4. Step 4: Simplify right side
    850.53x = 993,349.16
  5. Step 5: Solve for x
    x = 993,349.16/850.53
  6. Step 6: Final answer
    x = 1,167.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.