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Finding the Fourth Proportional to 1,659.74, 2,487.98 and 563.37

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Solution

The fourth proportional to 1,659.74, 2,487.98 and 563.37 is: 844.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.74 : 2,487.98 = 563.37 : x
  2. Step 2: Convert to fraction form
    1,659.74/2,487.98 = 563.37/x
  3. Step 3: Cross multiply
    1,659.74x = 2,487.98 × 563.37
  4. Step 4: Simplify right side
    1,659.74x = 1,401,650.48
  5. Step 5: Solve for x
    x = 1,401,650.48/1,659.74
  6. Step 6: Final answer
    x = 844.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.