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Finding the Fourth Proportional to 846.71, 1,268.23 and 826.06

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Solution

The fourth proportional to 846.71, 1,268.23 and 826.06 is: 1,237.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.71 : 1,268.23 = 826.06 : x
  2. Step 2: Convert to fraction form
    846.71/1,268.23 = 826.06/x
  3. Step 3: Cross multiply
    846.71x = 1,268.23 × 826.06
  4. Step 4: Simplify right side
    846.71x = 1,047,634.07
  5. Step 5: Solve for x
    x = 1,047,634.07/846.71
  6. Step 6: Final answer
    x = 1,237.30

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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.