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Finding the Fourth Proportional to 1,268.34, 1,902.88 and 446.68

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Solution

The fourth proportional to 1,268.34, 1,902.88 and 446.68 is: 670.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.34 : 1,902.88 = 446.68 : x
  2. Step 2: Convert to fraction form
    1,268.34/1,902.88 = 446.68/x
  3. Step 3: Cross multiply
    1,268.34x = 1,902.88 × 446.68
  4. Step 4: Simplify right side
    1,268.34x = 849,978.44
  5. Step 5: Solve for x
    x = 849,978.44/1,268.34
  6. Step 6: Final answer
    x = 670.15

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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.