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Finding the Fourth Proportional to 1,190.22, 1,643.08 and 792.55

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Solution

The fourth proportional to 1,190.22, 1,643.08 and 792.55 is: 1,094.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.22 : 1,643.08 = 792.55 : x
  2. Step 2: Convert to fraction form
    1,190.22/1,643.08 = 792.55/x
  3. Step 3: Cross multiply
    1,190.22x = 1,643.08 × 792.55
  4. Step 4: Simplify right side
    1,190.22x = 1,302,223.05
  5. Step 5: Solve for x
    x = 1,302,223.05/1,190.22
  6. Step 6: Final answer
    x = 1,094.10

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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.