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Finding the Fourth Proportional to 1,709.22, 2,563.86 and 613.62

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Solution

The fourth proportional to 1,709.22, 2,563.86 and 613.62 is: 920.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.22 : 2,563.86 = 613.62 : x
  2. Step 2: Convert to fraction form
    1,709.22/2,563.86 = 613.62/x
  3. Step 3: Cross multiply
    1,709.22x = 2,563.86 × 613.62
  4. Step 4: Simplify right side
    1,709.22x = 1,573,235.77
  5. Step 5: Solve for x
    x = 1,573,235.77/1,709.22
  6. Step 6: Final answer
    x = 920.44

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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.