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Finding the Fourth Proportional to 1,520.90, 2,098.84 and 822.28

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Solution

The fourth proportional to 1,520.90, 2,098.84 and 822.28 is: 1,134.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.90 : 2,098.84 = 822.28 : x
  2. Step 2: Convert to fraction form
    1,520.90/2,098.84 = 822.28/x
  3. Step 3: Cross multiply
    1,520.90x = 2,098.84 × 822.28
  4. Step 4: Simplify right side
    1,520.90x = 1,725,834.16
  5. Step 5: Solve for x
    x = 1,725,834.16/1,520.90
  6. Step 6: Final answer
    x = 1,134.75

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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.