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Finding the Fourth Proportional to 1,340.22, 2,009.88 and 474.36

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Solution

The fourth proportional to 1,340.22, 2,009.88 and 474.36 is: 711.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.22 : 2,009.88 = 474.36 : x
  2. Step 2: Convert to fraction form
    1,340.22/2,009.88 = 474.36/x
  3. Step 3: Cross multiply
    1,340.22x = 2,009.88 × 474.36
  4. Step 4: Simplify right side
    1,340.22x = 953,406.68
  5. Step 5: Solve for x
    x = 953,406.68/1,340.22
  6. Step 6: Final answer
    x = 711.38

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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.