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Finding the Fourth Proportional to 1,071.87, 1,605.18 and 967.99

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Solution

The fourth proportional to 1,071.87, 1,605.18 and 967.99 is: 1,449.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.87 : 1,605.18 = 967.99 : x
  2. Step 2: Convert to fraction form
    1,071.87/1,605.18 = 967.99/x
  3. Step 3: Cross multiply
    1,071.87x = 1,605.18 × 967.99
  4. Step 4: Simplify right side
    1,071.87x = 1,553,798.19
  5. Step 5: Solve for x
    x = 1,553,798.19/1,071.87
  6. Step 6: Final answer
    x = 1,449.61

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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.