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Finding the Fourth Proportional to 1,060.75, 1,464.24 and 711.64

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Solution

The fourth proportional to 1,060.75, 1,464.24 and 711.64 is: 982.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.75 : 1,464.24 = 711.64 : x
  2. Step 2: Convert to fraction form
    1,060.75/1,464.24 = 711.64/x
  3. Step 3: Cross multiply
    1,060.75x = 1,464.24 × 711.64
  4. Step 4: Simplify right side
    1,060.75x = 1,042,011.75
  5. Step 5: Solve for x
    x = 1,042,011.75/1,060.75
  6. Step 6: Final answer
    x = 982.33

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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.