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Finding the Fourth Proportional to 1,268.26, 1,903.02 and 575.42

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Solution

The fourth proportional to 1,268.26, 1,903.02 and 575.42 is: 863.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.26 : 1,903.02 = 575.42 : x
  2. Step 2: Convert to fraction form
    1,268.26/1,903.02 = 575.42/x
  3. Step 3: Cross multiply
    1,268.26x = 1,903.02 × 575.42
  4. Step 4: Simplify right side
    1,268.26x = 1,095,035.77
  5. Step 5: Solve for x
    x = 1,095,035.77/1,268.26
  6. Step 6: Final answer
    x = 863.42

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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.