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Finding the Fourth Proportional to 1,376.72, 2,065.31 and 683.43

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Solution

The fourth proportional to 1,376.72, 2,065.31 and 683.43 is: 1,025.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.72 : 2,065.31 = 683.43 : x
  2. Step 2: Convert to fraction form
    1,376.72/2,065.31 = 683.43/x
  3. Step 3: Cross multiply
    1,376.72x = 2,065.31 × 683.43
  4. Step 4: Simplify right side
    1,376.72x = 1,411,494.81
  5. Step 5: Solve for x
    x = 1,411,494.81/1,376.72
  6. Step 6: Final answer
    x = 1,025.26

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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.