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Finding the Fourth Proportional to 1,218.36, 1,826.92 and 602.34

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Solution

The fourth proportional to 1,218.36, 1,826.92 and 602.34 is: 903.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.36 : 1,826.92 = 602.34 : x
  2. Step 2: Convert to fraction form
    1,218.36/1,826.92 = 602.34/x
  3. Step 3: Cross multiply
    1,218.36x = 1,826.92 × 602.34
  4. Step 4: Simplify right side
    1,218.36x = 1,100,426.99
  5. Step 5: Solve for x
    x = 1,100,426.99/1,218.36
  6. Step 6: Final answer
    x = 903.20

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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.