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Finding the Fourth Proportional to 1,075.82, 1,610.39 and 684.49

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Solution

The fourth proportional to 1,075.82, 1,610.39 and 684.49 is: 1,024.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.82 : 1,610.39 = 684.49 : x
  2. Step 2: Convert to fraction form
    1,075.82/1,610.39 = 684.49/x
  3. Step 3: Cross multiply
    1,075.82x = 1,610.39 × 684.49
  4. Step 4: Simplify right side
    1,075.82x = 1,102,299.58
  5. Step 5: Solve for x
    x = 1,102,299.58/1,075.82
  6. Step 6: Final answer
    x = 1,024.61

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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.