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Finding the Fourth Proportional to 1,363.69, 1,881.57 and 804.25

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Solution

The fourth proportional to 1,363.69, 1,881.57 and 804.25 is: 1,109.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.69 : 1,881.57 = 804.25 : x
  2. Step 2: Convert to fraction form
    1,363.69/1,881.57 = 804.25/x
  3. Step 3: Cross multiply
    1,363.69x = 1,881.57 × 804.25
  4. Step 4: Simplify right side
    1,363.69x = 1,513,252.67
  5. Step 5: Solve for x
    x = 1,513,252.67/1,363.69
  6. Step 6: Final answer
    x = 1,109.67

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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.