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Finding the Fourth Proportional to 1,391.29, 2,087.22 and 466.83

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Solution

The fourth proportional to 1,391.29, 2,087.22 and 466.83 is: 700.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.29 : 2,087.22 = 466.83 : x
  2. Step 2: Convert to fraction form
    1,391.29/2,087.22 = 466.83/x
  3. Step 3: Cross multiply
    1,391.29x = 2,087.22 × 466.83
  4. Step 4: Simplify right side
    1,391.29x = 974,376.91
  5. Step 5: Solve for x
    x = 974,376.91/1,391.29
  6. Step 6: Final answer
    x = 700.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.