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Finding the Fourth Proportional to 1,354.46, 2,030.33 and 806.90

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Solution

The fourth proportional to 1,354.46, 2,030.33 and 806.90 is: 1,209.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.46 : 2,030.33 = 806.90 : x
  2. Step 2: Convert to fraction form
    1,354.46/2,030.33 = 806.90/x
  3. Step 3: Cross multiply
    1,354.46x = 2,030.33 × 806.90
  4. Step 4: Simplify right side
    1,354.46x = 1,638,265.14
  5. Step 5: Solve for x
    x = 1,638,265.14/1,354.46
  6. Step 6: Final answer
    x = 1,209.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.