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Finding the Fourth Proportional to 1,075.88, 1,611.26 and 684.68

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Solution

The fourth proportional to 1,075.88, 1,611.26 and 684.68 is: 1,025.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.88 : 1,611.26 = 684.68 : x
  2. Step 2: Convert to fraction form
    1,075.88/1,611.26 = 684.68/x
  3. Step 3: Cross multiply
    1,075.88x = 1,611.26 × 684.68
  4. Step 4: Simplify right side
    1,075.88x = 1,103,197.50
  5. Step 5: Solve for x
    x = 1,103,197.50/1,075.88
  6. Step 6: Final answer
    x = 1,025.39

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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.