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Finding the Fourth Proportional to 1,075, 1,609.80 and 976.36

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Solution

The fourth proportional to 1,075, 1,609.80 and 976.36 is: 1,462.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075 : 1,609.80 = 976.36 : x
  2. Step 2: Convert to fraction form
    1,075/1,609.80 = 976.36/x
  3. Step 3: Cross multiply
    1,075x = 1,609.80 × 976.36
  4. Step 4: Simplify right side
    1,075x = 1,571,744.33
  5. Step 5: Solve for x
    x = 1,571,744.33/1,075
  6. Step 6: Final answer
    x = 1,462.09

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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.