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Finding the Fourth Proportional to 846.27, 1,268.80 and 602.66

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Solution

The fourth proportional to 846.27, 1,268.80 and 602.66 is: 903.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.27 : 1,268.80 = 602.66 : x
  2. Step 2: Convert to fraction form
    846.27/1,268.80 = 602.66/x
  3. Step 3: Cross multiply
    846.27x = 1,268.80 × 602.66
  4. Step 4: Simplify right side
    846.27x = 764,656.67
  5. Step 5: Solve for x
    x = 764,656.67/846.27
  6. Step 6: Final answer
    x = 903.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.