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Finding the Fourth Proportional to 1,193.88, 1,646.92 and 930.12

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Solution

The fourth proportional to 1,193.88, 1,646.92 and 930.12 is: 1,283.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.88 : 1,646.92 = 930.12 : x
  2. Step 2: Convert to fraction form
    1,193.88/1,646.92 = 930.12/x
  3. Step 3: Cross multiply
    1,193.88x = 1,646.92 × 930.12
  4. Step 4: Simplify right side
    1,193.88x = 1,531,833.23
  5. Step 5: Solve for x
    x = 1,531,833.23/1,193.88
  6. Step 6: Final answer
    x = 1,283.07

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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.