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Finding the Fourth Proportional to 1,319.46, 1,820.78 and 729.96

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Solution

The fourth proportional to 1,319.46, 1,820.78 and 729.96 is: 1,007.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.46 : 1,820.78 = 729.96 : x
  2. Step 2: Convert to fraction form
    1,319.46/1,820.78 = 729.96/x
  3. Step 3: Cross multiply
    1,319.46x = 1,820.78 × 729.96
  4. Step 4: Simplify right side
    1,319.46x = 1,329,096.57
  5. Step 5: Solve for x
    x = 1,329,096.57/1,319.46
  6. Step 6: Final answer
    x = 1,007.30

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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.