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Finding the Fourth Proportional to 1,075.41, 1,610.37 and 728.19

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Solution

The fourth proportional to 1,075.41, 1,610.37 and 728.19 is: 1,090.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.41 : 1,610.37 = 728.19 : x
  2. Step 2: Convert to fraction form
    1,075.41/1,610.37 = 728.19/x
  3. Step 3: Cross multiply
    1,075.41x = 1,610.37 × 728.19
  4. Step 4: Simplify right side
    1,075.41x = 1,172,655.33
  5. Step 5: Solve for x
    x = 1,172,655.33/1,075.41
  6. Step 6: Final answer
    x = 1,090.43

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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.