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Finding the Fourth Proportional to 1,703.50, 2,555.26 and 678.22

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Solution

The fourth proportional to 1,703.50, 2,555.26 and 678.22 is: 1,017.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.50 : 2,555.26 = 678.22 : x
  2. Step 2: Convert to fraction form
    1,703.50/2,555.26 = 678.22/x
  3. Step 3: Cross multiply
    1,703.50x = 2,555.26 × 678.22
  4. Step 4: Simplify right side
    1,703.50x = 1,733,028.44
  5. Step 5: Solve for x
    x = 1,733,028.44/1,703.50
  6. Step 6: Final answer
    x = 1,017.33

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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.