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Finding the Fourth Proportional to 1,365.31, 1,884.32 and 776.11

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Solution

The fourth proportional to 1,365.31, 1,884.32 and 776.11 is: 1,071.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.31 : 1,884.32 = 776.11 : x
  2. Step 2: Convert to fraction form
    1,365.31/1,884.32 = 776.11/x
  3. Step 3: Cross multiply
    1,365.31x = 1,884.32 × 776.11
  4. Step 4: Simplify right side
    1,365.31x = 1,462,439.60
  5. Step 5: Solve for x
    x = 1,462,439.60/1,365.31
  6. Step 6: Final answer
    x = 1,071.14

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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.