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Finding the Fourth Proportional to 1,708.70, 2,563.05 and 613.10

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Solution

The fourth proportional to 1,708.70, 2,563.05 and 613.10 is: 919.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.70 : 2,563.05 = 613.10 : x
  2. Step 2: Convert to fraction form
    1,708.70/2,563.05 = 613.10/x
  3. Step 3: Cross multiply
    1,708.70x = 2,563.05 × 613.10
  4. Step 4: Simplify right side
    1,708.70x = 1,571,405.96
  5. Step 5: Solve for x
    x = 1,571,405.96/1,708.70
  6. Step 6: Final answer
    x = 919.65

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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.