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Finding the Fourth Proportional to 1,075.96, 1,615.38 and 822.52

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Solution

The fourth proportional to 1,075.96, 1,615.38 and 822.52 is: 1,234.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.96 : 1,615.38 = 822.52 : x
  2. Step 2: Convert to fraction form
    1,075.96/1,615.38 = 822.52/x
  3. Step 3: Cross multiply
    1,075.96x = 1,615.38 × 822.52
  4. Step 4: Simplify right side
    1,075.96x = 1,328,682.36
  5. Step 5: Solve for x
    x = 1,328,682.36/1,075.96
  6. Step 6: Final answer
    x = 1,234.88

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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.