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Finding the Fourth Proportional to 1,512.42, 2,268.63 and 646.73

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Solution

The fourth proportional to 1,512.42, 2,268.63 and 646.73 is: 970.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.42 : 2,268.63 = 646.73 : x
  2. Step 2: Convert to fraction form
    1,512.42/2,268.63 = 646.73/x
  3. Step 3: Cross multiply
    1,512.42x = 2,268.63 × 646.73
  4. Step 4: Simplify right side
    1,512.42x = 1,467,202.82
  5. Step 5: Solve for x
    x = 1,467,202.82/1,512.42
  6. Step 6: Final answer
    x = 970.10

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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.