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Finding the Fourth Proportional to 1,708.82, 2,563.19 and 613.90

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Solution

The fourth proportional to 1,708.82, 2,563.19 and 613.90 is: 920.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.82 : 2,563.19 = 613.90 : x
  2. Step 2: Convert to fraction form
    1,708.82/2,563.19 = 613.90/x
  3. Step 3: Cross multiply
    1,708.82x = 2,563.19 × 613.90
  4. Step 4: Simplify right side
    1,708.82x = 1,573,542.34
  5. Step 5: Solve for x
    x = 1,573,542.34/1,708.82
  6. Step 6: Final answer
    x = 920.84

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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.