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Finding the Fourth Proportional to 1,268.42, 1,902.06 and 575.06

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Solution

The fourth proportional to 1,268.42, 1,902.06 and 575.06 is: 862.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.42 : 1,902.06 = 575.06 : x
  2. Step 2: Convert to fraction form
    1,268.42/1,902.06 = 575.06/x
  3. Step 3: Cross multiply
    1,268.42x = 1,902.06 × 575.06
  4. Step 4: Simplify right side
    1,268.42x = 1,093,798.62
  5. Step 5: Solve for x
    x = 1,093,798.62/1,268.42
  6. Step 6: Final answer
    x = 862.33

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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.