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Finding the Fourth Proportional to 1,512.54, 2,268.84 and 646.86

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Solution

The fourth proportional to 1,512.54, 2,268.84 and 646.86 is: 970.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.54 : 2,268.84 = 646.86 : x
  2. Step 2: Convert to fraction form
    1,512.54/2,268.84 = 646.86/x
  3. Step 3: Cross multiply
    1,512.54x = 2,268.84 × 646.86
  4. Step 4: Simplify right side
    1,512.54x = 1,467,621.84
  5. Step 5: Solve for x
    x = 1,467,621.84/1,512.54
  6. Step 6: Final answer
    x = 970.30

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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.