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Finding the Fourth Proportional to 1,404.92, 2,107.43 and 527.33

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Solution

The fourth proportional to 1,404.92, 2,107.43 and 527.33 is: 791.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.92 : 2,107.43 = 527.33 : x
  2. Step 2: Convert to fraction form
    1,404.92/2,107.43 = 527.33/x
  3. Step 3: Cross multiply
    1,404.92x = 2,107.43 × 527.33
  4. Step 4: Simplify right side
    1,404.92x = 1,111,311.06
  5. Step 5: Solve for x
    x = 1,111,311.06/1,404.92
  6. Step 6: Final answer
    x = 791.01

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