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Finding the Fourth Proportional to 1,365.65, 1,884.54 and 776.22

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Solution

The fourth proportional to 1,365.65, 1,884.54 and 776.22 is: 1,071.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.65 : 1,884.54 = 776.22 : x
  2. Step 2: Convert to fraction form
    1,365.65/1,884.54 = 776.22/x
  3. Step 3: Cross multiply
    1,365.65x = 1,884.54 × 776.22
  4. Step 4: Simplify right side
    1,365.65x = 1,462,817.64
  5. Step 5: Solve for x
    x = 1,462,817.64/1,365.65
  6. Step 6: Final answer
    x = 1,071.15

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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.