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Finding the Fourth Proportional to 1,024.92, 1,414.80 and 676.44

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Solution

The fourth proportional to 1,024.92, 1,414.80 and 676.44 is: 933.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.92 : 1,414.80 = 676.44 : x
  2. Step 2: Convert to fraction form
    1,024.92/1,414.80 = 676.44/x
  3. Step 3: Cross multiply
    1,024.92x = 1,414.80 × 676.44
  4. Step 4: Simplify right side
    1,024.92x = 957,027.31
  5. Step 5: Solve for x
    x = 957,027.31/1,024.92
  6. Step 6: Final answer
    x = 933.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.