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Finding the Fourth Proportional to 1,376.86, 2,065.26 and 336.87

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Solution

The fourth proportional to 1,376.86, 2,065.26 and 336.87 is: 505.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.86 : 2,065.26 = 336.87 : x
  2. Step 2: Convert to fraction form
    1,376.86/2,065.26 = 336.87/x
  3. Step 3: Cross multiply
    1,376.86x = 2,065.26 × 336.87
  4. Step 4: Simplify right side
    1,376.86x = 695,724.14
  5. Step 5: Solve for x
    x = 695,724.14/1,376.86
  6. Step 6: Final answer
    x = 505.30

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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.