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Finding the Fourth Proportional to 1,071.88, 1,479.41 and 678.63

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Solution

The fourth proportional to 1,071.88, 1,479.41 and 678.63 is: 936.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.88 : 1,479.41 = 678.63 : x
  2. Step 2: Convert to fraction form
    1,071.88/1,479.41 = 678.63/x
  3. Step 3: Cross multiply
    1,071.88x = 1,479.41 × 678.63
  4. Step 4: Simplify right side
    1,071.88x = 1,003,961.22
  5. Step 5: Solve for x
    x = 1,003,961.22/1,071.88
  6. Step 6: Final answer
    x = 936.64

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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.