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Finding the Fourth Proportional to 913.83, 1,369.31 and 654.28

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Solution

The fourth proportional to 913.83, 1,369.31 and 654.28 is: 980.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.83 : 1,369.31 = 654.28 : x
  2. Step 2: Convert to fraction form
    913.83/1,369.31 = 654.28/x
  3. Step 3: Cross multiply
    913.83x = 1,369.31 × 654.28
  4. Step 4: Simplify right side
    913.83x = 895,905.45
  5. Step 5: Solve for x
    x = 895,905.45/913.83
  6. Step 6: Final answer
    x = 980.38

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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.