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Finding the Fourth Proportional to 1,152.65, 1,729.69 and 422.24

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Solution

The fourth proportional to 1,152.65, 1,729.69 and 422.24 is: 633.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.65 : 1,729.69 = 422.24 : x
  2. Step 2: Convert to fraction form
    1,152.65/1,729.69 = 422.24/x
  3. Step 3: Cross multiply
    1,152.65x = 1,729.69 × 422.24
  4. Step 4: Simplify right side
    1,152.65x = 730,334.60
  5. Step 5: Solve for x
    x = 730,334.60/1,152.65
  6. Step 6: Final answer
    x = 633.61

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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.