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Finding the Fourth Proportional to 1,196.16, 1,649.93 and 730.41

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Solution

The fourth proportional to 1,196.16, 1,649.93 and 730.41 is: 1,007.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.16 : 1,649.93 = 730.41 : x
  2. Step 2: Convert to fraction form
    1,196.16/1,649.93 = 730.41/x
  3. Step 3: Cross multiply
    1,196.16x = 1,649.93 × 730.41
  4. Step 4: Simplify right side
    1,196.16x = 1,205,125.37
  5. Step 5: Solve for x
    x = 1,205,125.37/1,196.16
  6. Step 6: Final answer
    x = 1,007.50

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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.