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Finding the Fourth Proportional to 1,167.58, 1,751.22 and 640.63

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Solution

The fourth proportional to 1,167.58, 1,751.22 and 640.63 is: 960.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.58 : 1,751.22 = 640.63 : x
  2. Step 2: Convert to fraction form
    1,167.58/1,751.22 = 640.63/x
  3. Step 3: Cross multiply
    1,167.58x = 1,751.22 × 640.63
  4. Step 4: Simplify right side
    1,167.58x = 1,121,884.07
  5. Step 5: Solve for x
    x = 1,121,884.07/1,167.58
  6. Step 6: Final answer
    x = 960.86

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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.