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Finding the Fourth Proportional to 1,152.77, 1,729.16 and 422.06

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Solution

The fourth proportional to 1,152.77, 1,729.16 and 422.06 is: 633.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.77 : 1,729.16 = 422.06 : x
  2. Step 2: Convert to fraction form
    1,152.77/1,729.16 = 422.06/x
  3. Step 3: Cross multiply
    1,152.77x = 1,729.16 × 422.06
  4. Step 4: Simplify right side
    1,152.77x = 729,809.27
  5. Step 5: Solve for x
    x = 729,809.27/1,152.77
  6. Step 6: Final answer
    x = 633.09

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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.