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Finding the Fourth Proportional to 1,684.22, 2,525.54 and 709.78

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Solution

The fourth proportional to 1,684.22, 2,525.54 and 709.78 is: 1,064.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.22 : 2,525.54 = 709.78 : x
  2. Step 2: Convert to fraction form
    1,684.22/2,525.54 = 709.78/x
  3. Step 3: Cross multiply
    1,684.22x = 2,525.54 × 709.78
  4. Step 4: Simplify right side
    1,684.22x = 1,792,577.78
  5. Step 5: Solve for x
    x = 1,792,577.78/1,684.22
  6. Step 6: Final answer
    x = 1,064.34

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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.