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Finding the Fourth Proportional to 1,022.57, 1,411.58 and 727.79

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Solution

The fourth proportional to 1,022.57, 1,411.58 and 727.79 is: 1,004.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.57 : 1,411.58 = 727.79 : x
  2. Step 2: Convert to fraction form
    1,022.57/1,411.58 = 727.79/x
  3. Step 3: Cross multiply
    1,022.57x = 1,411.58 × 727.79
  4. Step 4: Simplify right side
    1,022.57x = 1,027,324.48
  5. Step 5: Solve for x
    x = 1,027,324.48/1,022.57
  6. Step 6: Final answer
    x = 1,004.65

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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.