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Finding the Fourth Proportional to 1,190.34, 1,784.79 and 804.42

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Solution

The fourth proportional to 1,190.34, 1,784.79 and 804.42 is: 1,206.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.34 : 1,784.79 = 804.42 : x
  2. Step 2: Convert to fraction form
    1,190.34/1,784.79 = 804.42/x
  3. Step 3: Cross multiply
    1,190.34x = 1,784.79 × 804.42
  4. Step 4: Simplify right side
    1,190.34x = 1,435,720.77
  5. Step 5: Solve for x
    x = 1,435,720.77/1,190.34
  6. Step 6: Final answer
    x = 1,206.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.