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Finding the Fourth Proportional to 1,089.18, 1,504.71 and 994.14

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Solution

The fourth proportional to 1,089.18, 1,504.71 and 994.14 is: 1,373.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.18 : 1,504.71 = 994.14 : x
  2. Step 2: Convert to fraction form
    1,089.18/1,504.71 = 994.14/x
  3. Step 3: Cross multiply
    1,089.18x = 1,504.71 × 994.14
  4. Step 4: Simplify right side
    1,089.18x = 1,495,892.40
  5. Step 5: Solve for x
    x = 1,495,892.40/1,089.18
  6. Step 6: Final answer
    x = 1,373.41

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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.