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Finding the Fourth Proportional to 1,268.16, 1,902.78 and 538.26

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Solution

The fourth proportional to 1,268.16, 1,902.78 and 538.26 is: 807.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.16 : 1,902.78 = 538.26 : x
  2. Step 2: Convert to fraction form
    1,268.16/1,902.78 = 538.26/x
  3. Step 3: Cross multiply
    1,268.16x = 1,902.78 × 538.26
  4. Step 4: Simplify right side
    1,268.16x = 1,024,190.36
  5. Step 5: Solve for x
    x = 1,024,190.36/1,268.16
  6. Step 6: Final answer
    x = 807.62

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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.