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Finding the Fourth Proportional to 1,064.18, 1,467.71 and 842.78

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Solution

The fourth proportional to 1,064.18, 1,467.71 and 842.78 is: 1,162.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.18 : 1,467.71 = 842.78 : x
  2. Step 2: Convert to fraction form
    1,064.18/1,467.71 = 842.78/x
  3. Step 3: Cross multiply
    1,064.18x = 1,467.71 × 842.78
  4. Step 4: Simplify right side
    1,064.18x = 1,236,956.63
  5. Step 5: Solve for x
    x = 1,236,956.63/1,064.18
  6. Step 6: Final answer
    x = 1,162.36

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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.