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Finding the Fourth Proportional to 1,075.64, 1,611.62 and 641.88

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Solution

The fourth proportional to 1,075.64, 1,611.62 and 641.88 is: 961.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.64 : 1,611.62 = 641.88 : x
  2. Step 2: Convert to fraction form
    1,075.64/1,611.62 = 641.88/x
  3. Step 3: Cross multiply
    1,075.64x = 1,611.62 × 641.88
  4. Step 4: Simplify right side
    1,075.64x = 1,034,466.65
  5. Step 5: Solve for x
    x = 1,034,466.65/1,075.64
  6. Step 6: Final answer
    x = 961.72

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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.