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Finding the Fourth Proportional to 989, 1,365.40 and 756.56

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Solution

The fourth proportional to 989, 1,365.40 and 756.56 is: 1,044.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    989 : 1,365.40 = 756.56 : x
  2. Step 2: Convert to fraction form
    989/1,365.40 = 756.56/x
  3. Step 3: Cross multiply
    989x = 1,365.40 × 756.56
  4. Step 4: Simplify right side
    989x = 1,033,007.02
  5. Step 5: Solve for x
    x = 1,033,007.02/989
  6. Step 6: Final answer
    x = 1,044.50

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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.