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Finding the Fourth Proportional to 1,116.04, 1,672.73 and 841.23

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Solution

The fourth proportional to 1,116.04, 1,672.73 and 841.23 is: 1,260.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.04 : 1,672.73 = 841.23 : x
  2. Step 2: Convert to fraction form
    1,116.04/1,672.73 = 841.23/x
  3. Step 3: Cross multiply
    1,116.04x = 1,672.73 × 841.23
  4. Step 4: Simplify right side
    1,116.04x = 1,407,142.29
  5. Step 5: Solve for x
    x = 1,407,142.29/1,116.04
  6. Step 6: Final answer
    x = 1,260.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.