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Finding the Fourth Proportional to 1,066.55, 1,471.86 and 804.11

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Solution

The fourth proportional to 1,066.55, 1,471.86 and 804.11 is: 1,109.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.55 : 1,471.86 = 804.11 : x
  2. Step 2: Convert to fraction form
    1,066.55/1,471.86 = 804.11/x
  3. Step 3: Cross multiply
    1,066.55x = 1,471.86 × 804.11
  4. Step 4: Simplify right side
    1,066.55x = 1,183,529.99
  5. Step 5: Solve for x
    x = 1,183,529.99/1,066.55
  6. Step 6: Final answer
    x = 1,109.69

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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.