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Finding the Fourth Proportional to 1,199.04, 1,656 and 1,182.84

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Solution

The fourth proportional to 1,199.04, 1,656 and 1,182.84 is: 1,633.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.04 : 1,656 = 1,182.84 : x
  2. Step 2: Convert to fraction form
    1,199.04/1,656 = 1,182.84/x
  3. Step 3: Cross multiply
    1,199.04x = 1,656 × 1,182.84
  4. Step 4: Simplify right side
    1,199.04x = 1,958,783.04
  5. Step 5: Solve for x
    x = 1,958,783.04/1,199.04
  6. Step 6: Final answer
    x = 1,633.63

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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.