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Finding the Fourth Proportional to 1,365.14, 1,884.10 and 805.44

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Solution

The fourth proportional to 1,365.14, 1,884.10 and 805.44 is: 1,111.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.14 : 1,884.10 = 805.44 : x
  2. Step 2: Convert to fraction form
    1,365.14/1,884.10 = 805.44/x
  3. Step 3: Cross multiply
    1,365.14x = 1,884.10 × 805.44
  4. Step 4: Simplify right side
    1,365.14x = 1,517,529.50
  5. Step 5: Solve for x
    x = 1,517,529.50/1,365.14
  6. Step 6: Final answer
    x = 1,111.63

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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.