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Finding the Fourth Proportional to 1,071.85, 1,478.91 and 678.73

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Solution

The fourth proportional to 1,071.85, 1,478.91 and 678.73 is: 936.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.85 : 1,478.91 = 678.73 : x
  2. Step 2: Convert to fraction form
    1,071.85/1,478.91 = 678.73/x
  3. Step 3: Cross multiply
    1,071.85x = 1,478.91 × 678.73
  4. Step 4: Simplify right side
    1,071.85x = 1,003,780.58
  5. Step 5: Solve for x
    x = 1,003,780.58/1,071.85
  6. Step 6: Final answer
    x = 936.49

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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.