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Finding the Fourth Proportional to 1,363.39, 1,881.81 and 774.27

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Solution

The fourth proportional to 1,363.39, 1,881.81 and 774.27 is: 1,068.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.39 : 1,881.81 = 774.27 : x
  2. Step 2: Convert to fraction form
    1,363.39/1,881.81 = 774.27/x
  3. Step 3: Cross multiply
    1,363.39x = 1,881.81 × 774.27
  4. Step 4: Simplify right side
    1,363.39x = 1,457,029.03
  5. Step 5: Solve for x
    x = 1,457,029.03/1,363.39
  6. Step 6: Final answer
    x = 1,068.68

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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.