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Finding the Fourth Proportional to 1,376.82, 1,899.93 and 817.26

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Solution

The fourth proportional to 1,376.82, 1,899.93 and 817.26 is: 1,127.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.82 : 1,899.93 = 817.26 : x
  2. Step 2: Convert to fraction form
    1,376.82/1,899.93 = 817.26/x
  3. Step 3: Cross multiply
    1,376.82x = 1,899.93 × 817.26
  4. Step 4: Simplify right side
    1,376.82x = 1,552,736.79
  5. Step 5: Solve for x
    x = 1,552,736.79/1,376.82
  6. Step 6: Final answer
    x = 1,127.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.