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Finding the Fourth Proportional to 1,365.85, 1,884.77 and 806.29

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Solution

The fourth proportional to 1,365.85, 1,884.77 and 806.29 is: 1,112.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.85 : 1,884.77 = 806.29 : x
  2. Step 2: Convert to fraction form
    1,365.85/1,884.77 = 806.29/x
  3. Step 3: Cross multiply
    1,365.85x = 1,884.77 × 806.29
  4. Step 4: Simplify right side
    1,365.85x = 1,519,668.51
  5. Step 5: Solve for x
    x = 1,519,668.51/1,365.85
  6. Step 6: Final answer
    x = 1,112.62

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1.5x scale

Why These Related Problems?

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