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Finding the Fourth Proportional to 1,365.84, 1,884.92 and 776.48

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Solution

The fourth proportional to 1,365.84, 1,884.92 and 776.48 is: 1,071.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.84 : 1,884.92 = 776.48 : x
  2. Step 2: Convert to fraction form
    1,365.84/1,884.92 = 776.48/x
  3. Step 3: Cross multiply
    1,365.84x = 1,884.92 × 776.48
  4. Step 4: Simplify right side
    1,365.84x = 1,463,589.37
  5. Step 5: Solve for x
    x = 1,463,589.37/1,365.84
  6. Step 6: Final answer
    x = 1,071.57

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