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Finding the Fourth Proportional to 1,190.81, 1,643.19 and 942.75

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Solution

The fourth proportional to 1,190.81, 1,643.19 and 942.75 is: 1,300.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.81 : 1,643.19 = 942.75 : x
  2. Step 2: Convert to fraction form
    1,190.81/1,643.19 = 942.75/x
  3. Step 3: Cross multiply
    1,190.81x = 1,643.19 × 942.75
  4. Step 4: Simplify right side
    1,190.81x = 1,549,117.37
  5. Step 5: Solve for x
    x = 1,549,117.37/1,190.81
  6. Step 6: Final answer
    x = 1,300.90

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