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Finding the Fourth Proportional to 1,007.69, 1,381.55 and 989.19

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Solution

The fourth proportional to 1,007.69, 1,381.55 and 989.19 is: 1,356.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.69 : 1,381.55 = 989.19 : x
  2. Step 2: Convert to fraction form
    1,007.69/1,381.55 = 989.19/x
  3. Step 3: Cross multiply
    1,007.69x = 1,381.55 × 989.19
  4. Step 4: Simplify right side
    1,007.69x = 1,366,610.50
  5. Step 5: Solve for x
    x = 1,366,610.50/1,007.69
  6. Step 6: Final answer
    x = 1,356.19

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.