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Finding the Fourth Proportional to 1,075.31, 1,611.43 and 636.65

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Solution

The fourth proportional to 1,075.31, 1,611.43 and 636.65 is: 954.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.31 : 1,611.43 = 636.65 : x
  2. Step 2: Convert to fraction form
    1,075.31/1,611.43 = 636.65/x
  3. Step 3: Cross multiply
    1,075.31x = 1,611.43 × 636.65
  4. Step 4: Simplify right side
    1,075.31x = 1,025,907.26
  5. Step 5: Solve for x
    x = 1,025,907.26/1,075.31
  6. Step 6: Final answer
    x = 954.06

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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.