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Finding the Fourth Proportional to 1,196.94, 1,649.52 and 934.50

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Solution

The fourth proportional to 1,196.94, 1,649.52 and 934.50 is: 1,287.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.94 : 1,649.52 = 934.50 : x
  2. Step 2: Convert to fraction form
    1,196.94/1,649.52 = 934.50/x
  3. Step 3: Cross multiply
    1,196.94x = 1,649.52 × 934.50
  4. Step 4: Simplify right side
    1,196.94x = 1,541,476.44
  5. Step 5: Solve for x
    x = 1,541,476.44/1,196.94
  6. Step 6: Final answer
    x = 1,287.85

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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.