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Finding the Fourth Proportional to 1,075.43, 1,608.28 and 828.59

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Solution

The fourth proportional to 1,075.43, 1,608.28 and 828.59 is: 1,239.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.43 : 1,608.28 = 828.59 : x
  2. Step 2: Convert to fraction form
    1,075.43/1,608.28 = 828.59/x
  3. Step 3: Cross multiply
    1,075.43x = 1,608.28 × 828.59
  4. Step 4: Simplify right side
    1,075.43x = 1,332,594.61
  5. Step 5: Solve for x
    x = 1,332,594.61/1,075.43
  6. Step 6: Final answer
    x = 1,239.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.