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Finding the Fourth Proportional to 1,268.75, 1,899.14 and 807.05

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Solution

The fourth proportional to 1,268.75, 1,899.14 and 807.05 is: 1,208.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.75 : 1,899.14 = 807.05 : x
  2. Step 2: Convert to fraction form
    1,268.75/1,899.14 = 807.05/x
  3. Step 3: Cross multiply
    1,268.75x = 1,899.14 × 807.05
  4. Step 4: Simplify right side
    1,268.75x = 1,532,687.41
  5. Step 5: Solve for x
    x = 1,532,687.41/1,268.75
  6. Step 6: Final answer
    x = 1,208.03

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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.