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Finding the Fourth Proportional to 1,268.64, 1,902.80 and 391.08

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Solution

The fourth proportional to 1,268.64, 1,902.80 and 391.08 is: 586.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.64 : 1,902.80 = 391.08 : x
  2. Step 2: Convert to fraction form
    1,268.64/1,902.80 = 391.08/x
  3. Step 3: Cross multiply
    1,268.64x = 1,902.80 × 391.08
  4. Step 4: Simplify right side
    1,268.64x = 744,147.02
  5. Step 5: Solve for x
    x = 744,147.02/1,268.64
  6. Step 6: Final answer
    x = 586.57

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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.