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Finding the Fourth Proportional to 1,520.62, 2,098.46 and 857.47

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Solution

The fourth proportional to 1,520.62, 2,098.46 and 857.47 is: 1,183.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.62 : 2,098.46 = 857.47 : x
  2. Step 2: Convert to fraction form
    1,520.62/2,098.46 = 857.47/x
  3. Step 3: Cross multiply
    1,520.62x = 2,098.46 × 857.47
  4. Step 4: Simplify right side
    1,520.62x = 1,799,362.51
  5. Step 5: Solve for x
    x = 1,799,362.51/1,520.62
  6. Step 6: Final answer
    x = 1,183.31

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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.