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Finding the Fourth Proportional to 1,268.64, 1,903.05 and 446.94

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Solution

The fourth proportional to 1,268.64, 1,903.05 and 446.94 is: 670.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.64 : 1,903.05 = 446.94 : x
  2. Step 2: Convert to fraction form
    1,268.64/1,903.05 = 446.94/x
  3. Step 3: Cross multiply
    1,268.64x = 1,903.05 × 446.94
  4. Step 4: Simplify right side
    1,268.64x = 850,549.17
  5. Step 5: Solve for x
    x = 850,549.17/1,268.64
  6. Step 6: Final answer
    x = 670.44

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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.