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Finding the Fourth Proportional to 1,268.86, 1,903.01 and 435.83

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Solution

The fourth proportional to 1,268.86, 1,903.01 and 435.83 is: 653.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.86 : 1,903.01 = 435.83 : x
  2. Step 2: Convert to fraction form
    1,268.86/1,903.01 = 435.83/x
  3. Step 3: Cross multiply
    1,268.86x = 1,903.01 × 435.83
  4. Step 4: Simplify right side
    1,268.86x = 829,377.15
  5. Step 5: Solve for x
    x = 829,377.15/1,268.86
  6. Step 6: Final answer
    x = 653.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.