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Finding the Fourth Proportional to 1,323.61, 1,985.39 and 336.43

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Solution

The fourth proportional to 1,323.61, 1,985.39 and 336.43 is: 504.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.61 : 1,985.39 = 336.43 : x
  2. Step 2: Convert to fraction form
    1,323.61/1,985.39 = 336.43/x
  3. Step 3: Cross multiply
    1,323.61x = 1,985.39 × 336.43
  4. Step 4: Simplify right side
    1,323.61x = 667,944.76
  5. Step 5: Solve for x
    x = 667,944.76/1,323.61
  6. Step 6: Final answer
    x = 504.64

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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.