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Finding the Fourth Proportional to 1,062.80, 1,464.34 and 712.88

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Solution

The fourth proportional to 1,062.80, 1,464.34 and 712.88 is: 982.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.80 : 1,464.34 = 712.88 : x
  2. Step 2: Convert to fraction form
    1,062.80/1,464.34 = 712.88/x
  3. Step 3: Cross multiply
    1,062.80x = 1,464.34 × 712.88
  4. Step 4: Simplify right side
    1,062.80x = 1,043,898.70
  5. Step 5: Solve for x
    x = 1,043,898.70/1,062.80
  6. Step 6: Final answer
    x = 982.22

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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.