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Finding the Fourth Proportional to 1,071.15, 1,606.94 and 455.14

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Solution

The fourth proportional to 1,071.15, 1,606.94 and 455.14 is: 682.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.15 : 1,606.94 = 455.14 : x
  2. Step 2: Convert to fraction form
    1,071.15/1,606.94 = 455.14/x
  3. Step 3: Cross multiply
    1,071.15x = 1,606.94 × 455.14
  4. Step 4: Simplify right side
    1,071.15x = 731,382.67
  5. Step 5: Solve for x
    x = 731,382.67/1,071.15
  6. Step 6: Final answer
    x = 682.80

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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.