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Finding the Fourth Proportional to 1,365.62, 1,884.32 and 776.05

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Solution

The fourth proportional to 1,365.62, 1,884.32 and 776.05 is: 1,070.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.62 : 1,884.32 = 776.05 : x
  2. Step 2: Convert to fraction form
    1,365.62/1,884.32 = 776.05/x
  3. Step 3: Cross multiply
    1,365.62x = 1,884.32 × 776.05
  4. Step 4: Simplify right side
    1,365.62x = 1,462,313.23
  5. Step 5: Solve for x
    x = 1,462,313.23/1,365.62
  6. Step 6: Final answer
    x = 1,070.81

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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.