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Finding the Fourth Proportional to 1,297.46, 1,789.77 and 824.54

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Solution

The fourth proportional to 1,297.46, 1,789.77 and 824.54 is: 1,137.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.46 : 1,789.77 = 824.54 : x
  2. Step 2: Convert to fraction form
    1,297.46/1,789.77 = 824.54/x
  3. Step 3: Cross multiply
    1,297.46x = 1,789.77 × 824.54
  4. Step 4: Simplify right side
    1,297.46x = 1,475,736.96
  5. Step 5: Solve for x
    x = 1,475,736.96/1,297.46
  6. Step 6: Final answer
    x = 1,137.40

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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.