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Finding the Fourth Proportional to 1,227.02, 1,693.42 and 729.74

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Solution

The fourth proportional to 1,227.02, 1,693.42 and 729.74 is: 1,007.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.02 : 1,693.42 = 729.74 : x
  2. Step 2: Convert to fraction form
    1,227.02/1,693.42 = 729.74/x
  3. Step 3: Cross multiply
    1,227.02x = 1,693.42 × 729.74
  4. Step 4: Simplify right side
    1,227.02x = 1,235,758.72
  5. Step 5: Solve for x
    x = 1,235,758.72/1,227.02
  6. Step 6: Final answer
    x = 1,007.13

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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.