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Finding the Fourth Proportional to 1,172.52, 1,616.52 and 729.63

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Solution

The fourth proportional to 1,172.52, 1,616.52 and 729.63 is: 1,005.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.52 : 1,616.52 = 729.63 : x
  2. Step 2: Convert to fraction form
    1,172.52/1,616.52 = 729.63/x
  3. Step 3: Cross multiply
    1,172.52x = 1,616.52 × 729.63
  4. Step 4: Simplify right side
    1,172.52x = 1,179,461.49
  5. Step 5: Solve for x
    x = 1,179,461.49/1,172.52
  6. Step 6: Final answer
    x = 1,005.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.