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Finding the Fourth Proportional to 982.72, 1,356.60 and 772.40

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Solution

The fourth proportional to 982.72, 1,356.60 and 772.40 is: 1,066.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.72 : 1,356.60 = 772.40 : x
  2. Step 2: Convert to fraction form
    982.72/1,356.60 = 772.40/x
  3. Step 3: Cross multiply
    982.72x = 1,356.60 × 772.40
  4. Step 4: Simplify right side
    982.72x = 1,047,837.84
  5. Step 5: Solve for x
    x = 1,047,837.84/982.72
  6. Step 6: Final answer
    x = 1,066.26

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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.