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Finding the Fourth Proportional to 1,376.78, 2,065.19 and 336.78

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Solution

The fourth proportional to 1,376.78, 2,065.19 and 336.78 is: 505.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.78 : 2,065.19 = 336.78 : x
  2. Step 2: Convert to fraction form
    1,376.78/2,065.19 = 336.78/x
  3. Step 3: Cross multiply
    1,376.78x = 2,065.19 × 336.78
  4. Step 4: Simplify right side
    1,376.78x = 695,513.00
  5. Step 5: Solve for x
    x = 695,513.00/1,376.78
  6. Step 6: Final answer
    x = 505.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.