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Finding the Fourth Proportional to 1,227.01, 1,693.49 and 729.67

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Solution

The fourth proportional to 1,227.01, 1,693.49 and 729.67 is: 1,007.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.01 : 1,693.49 = 729.67 : x
  2. Step 2: Convert to fraction form
    1,227.01/1,693.49 = 729.67/x
  3. Step 3: Cross multiply
    1,227.01x = 1,693.49 × 729.67
  4. Step 4: Simplify right side
    1,227.01x = 1,235,688.85
  5. Step 5: Solve for x
    x = 1,235,688.85/1,227.01
  6. Step 6: Final answer
    x = 1,007.07

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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.