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Finding the Fourth Proportional to 1,336.23, 2,002.65 and 513.40

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Solution

The fourth proportional to 1,336.23, 2,002.65 and 513.40 is: 769.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.23 : 2,002.65 = 513.40 : x
  2. Step 2: Convert to fraction form
    1,336.23/2,002.65 = 513.40/x
  3. Step 3: Cross multiply
    1,336.23x = 2,002.65 × 513.40
  4. Step 4: Simplify right side
    1,336.23x = 1,028,160.51
  5. Step 5: Solve for x
    x = 1,028,160.51/1,336.23
  6. Step 6: Final answer
    x = 769.45

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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.