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Finding the Fourth Proportional to 1,708.49, 2,563.85 and 734.60

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Solution

The fourth proportional to 1,708.49, 2,563.85 and 734.60 is: 1,102.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.49 : 2,563.85 = 734.60 : x
  2. Step 2: Convert to fraction form
    1,708.49/2,563.85 = 734.60/x
  3. Step 3: Cross multiply
    1,708.49x = 2,563.85 × 734.60
  4. Step 4: Simplify right side
    1,708.49x = 1,883,412.46
  5. Step 5: Solve for x
    x = 1,883,412.46/1,708.49
  6. Step 6: Final answer
    x = 1,102.38

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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.