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Finding the Fourth Proportional to 1,402.09, 2,102.73 and 477.62

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Solution

The fourth proportional to 1,402.09, 2,102.73 and 477.62 is: 716.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.09 : 2,102.73 = 477.62 : x
  2. Step 2: Convert to fraction form
    1,402.09/2,102.73 = 477.62/x
  3. Step 3: Cross multiply
    1,402.09x = 2,102.73 × 477.62
  4. Step 4: Simplify right side
    1,402.09x = 1,004,313.31
  5. Step 5: Solve for x
    x = 1,004,313.31/1,402.09
  6. Step 6: Final answer
    x = 716.30

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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.