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Finding the Fourth Proportional to 1,337.23, 2,005.27 and 459.82

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Solution

The fourth proportional to 1,337.23, 2,005.27 and 459.82 is: 689.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.23 : 2,005.27 = 459.82 : x
  2. Step 2: Convert to fraction form
    1,337.23/2,005.27 = 459.82/x
  3. Step 3: Cross multiply
    1,337.23x = 2,005.27 × 459.82
  4. Step 4: Simplify right side
    1,337.23x = 922,057.09
  5. Step 5: Solve for x
    x = 922,057.09/1,337.23
  6. Step 6: Final answer
    x = 689.53

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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.