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Finding the Fourth Proportional to 982.80, 1,467.72 and 846.18

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Solution

The fourth proportional to 982.80, 1,467.72 and 846.18 is: 1,263.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.80 : 1,467.72 = 846.18 : x
  2. Step 2: Convert to fraction form
    982.80/1,467.72 = 846.18/x
  3. Step 3: Cross multiply
    982.80x = 1,467.72 × 846.18
  4. Step 4: Simplify right side
    982.80x = 1,241,955.31
  5. Step 5: Solve for x
    x = 1,241,955.31/982.80
  6. Step 6: Final answer
    x = 1,263.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.