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Finding the Fourth Proportional to 1,525.70, 2,105.45 and 827.07

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Solution

The fourth proportional to 1,525.70, 2,105.45 and 827.07 is: 1,141.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.70 : 2,105.45 = 827.07 : x
  2. Step 2: Convert to fraction form
    1,525.70/2,105.45 = 827.07/x
  3. Step 3: Cross multiply
    1,525.70x = 2,105.45 × 827.07
  4. Step 4: Simplify right side
    1,525.70x = 1,741,356.60
  5. Step 5: Solve for x
    x = 1,741,356.60/1,525.70
  6. Step 6: Final answer
    x = 1,141.35

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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.