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Finding the Fourth Proportional to 846.37, 1,268.69 and 586.44

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Solution

The fourth proportional to 846.37, 1,268.69 and 586.44 is: 879.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.37 : 1,268.69 = 586.44 : x
  2. Step 2: Convert to fraction form
    846.37/1,268.69 = 586.44/x
  3. Step 3: Cross multiply
    846.37x = 1,268.69 × 586.44
  4. Step 4: Simplify right side
    846.37x = 744,009.28
  5. Step 5: Solve for x
    x = 744,009.28/846.37
  6. Step 6: Final answer
    x = 879.05

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