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Finding the Fourth Proportional to 1,512.42, 2,268.90 and 646.26

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Solution

The fourth proportional to 1,512.42, 2,268.90 and 646.26 is: 969.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.42 : 2,268.90 = 646.26 : x
  2. Step 2: Convert to fraction form
    1,512.42/2,268.90 = 646.26/x
  3. Step 3: Cross multiply
    1,512.42x = 2,268.90 × 646.26
  4. Step 4: Simplify right side
    1,512.42x = 1,466,299.31
  5. Step 5: Solve for x
    x = 1,466,299.31/1,512.42
  6. Step 6: Final answer
    x = 969.51

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1.5x scale

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.