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Finding the Fourth Proportional to 1,071.82, 1,479.01 and 678.83

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Solution

The fourth proportional to 1,071.82, 1,479.01 and 678.83 is: 936.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.82 : 1,479.01 = 678.83 : x
  2. Step 2: Convert to fraction form
    1,071.82/1,479.01 = 678.83/x
  3. Step 3: Cross multiply
    1,071.82x = 1,479.01 × 678.83
  4. Step 4: Simplify right side
    1,071.82x = 1,003,992.96
  5. Step 5: Solve for x
    x = 1,003,992.96/1,071.82
  6. Step 6: Final answer
    x = 936.72

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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.