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Finding the Fourth Proportional to 1,757.63, 2,635.52 and 717.05

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Solution

The fourth proportional to 1,757.63, 2,635.52 and 717.05 is: 1,075.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.63 : 2,635.52 = 717.05 : x
  2. Step 2: Convert to fraction form
    1,757.63/2,635.52 = 717.05/x
  3. Step 3: Cross multiply
    1,757.63x = 2,635.52 × 717.05
  4. Step 4: Simplify right side
    1,757.63x = 1,889,782.85
  5. Step 5: Solve for x
    x = 1,889,782.85/1,757.63
  6. Step 6: Final answer
    x = 1,075.19

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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.