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Finding the Fourth Proportional to 1,418.30, 1,956.96 and 858.66

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Solution

The fourth proportional to 1,418.30, 1,956.96 and 858.66 is: 1,184.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.30 : 1,956.96 = 858.66 : x
  2. Step 2: Convert to fraction form
    1,418.30/1,956.96 = 858.66/x
  3. Step 3: Cross multiply
    1,418.30x = 1,956.96 × 858.66
  4. Step 4: Simplify right side
    1,418.30x = 1,680,363.27
  5. Step 5: Solve for x
    x = 1,680,363.27/1,418.30
  6. Step 6: Final answer
    x = 1,184.77

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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.