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Finding the Fourth Proportional to 1,507.44, 2,256.36 and 813.12

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Solution

The fourth proportional to 1,507.44, 2,256.36 and 813.12 is: 1,217.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.44 : 2,256.36 = 813.12 : x
  2. Step 2: Convert to fraction form
    1,507.44/2,256.36 = 813.12/x
  3. Step 3: Cross multiply
    1,507.44x = 2,256.36 × 813.12
  4. Step 4: Simplify right side
    1,507.44x = 1,834,691.44
  5. Step 5: Solve for x
    x = 1,834,691.44/1,507.44
  6. Step 6: Final answer
    x = 1,217.09

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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.