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Finding the Fourth Proportional to 1,340.13, 2,011.01 and 474.33

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Solution

The fourth proportional to 1,340.13, 2,011.01 and 474.33 is: 711.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.13 : 2,011.01 = 474.33 : x
  2. Step 2: Convert to fraction form
    1,340.13/2,011.01 = 474.33/x
  3. Step 3: Cross multiply
    1,340.13x = 2,011.01 × 474.33
  4. Step 4: Simplify right side
    1,340.13x = 953,880.00
  5. Step 5: Solve for x
    x = 953,880.00/1,340.13
  6. Step 6: Final answer
    x = 711.78

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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.