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Finding the Fourth Proportional to 729.11, 1,005.94 and 414.35

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Solution

The fourth proportional to 729.11, 1,005.94 and 414.35 is: 571.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.11 : 1,005.94 = 414.35 : x
  2. Step 2: Convert to fraction form
    729.11/1,005.94 = 414.35/x
  3. Step 3: Cross multiply
    729.11x = 1,005.94 × 414.35
  4. Step 4: Simplify right side
    729.11x = 416,806.21
  5. Step 5: Solve for x
    x = 416,806.21/729.11
  6. Step 6: Final answer
    x = 571.67

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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.