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Finding the Fourth Proportional to 1,328.21, 1,832.60 and 804.14

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Solution

The fourth proportional to 1,328.21, 1,832.60 and 804.14 is: 1,109.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.21 : 1,832.60 = 804.14 : x
  2. Step 2: Convert to fraction form
    1,328.21/1,832.60 = 804.14/x
  3. Step 3: Cross multiply
    1,328.21x = 1,832.60 × 804.14
  4. Step 4: Simplify right side
    1,328.21x = 1,473,662.94
  5. Step 5: Solve for x
    x = 1,473,662.94/1,328.21
  6. Step 6: Final answer
    x = 1,109.51

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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.