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Finding the Fourth Proportional to 1,071.88, 1,608.27 and 455.71

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Solution

The fourth proportional to 1,071.88, 1,608.27 and 455.71 is: 683.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.88 : 1,608.27 = 455.71 : x
  2. Step 2: Convert to fraction form
    1,071.88/1,608.27 = 455.71/x
  3. Step 3: Cross multiply
    1,071.88x = 1,608.27 × 455.71
  4. Step 4: Simplify right side
    1,071.88x = 732,904.72
  5. Step 5: Solve for x
    x = 732,904.72/1,071.88
  6. Step 6: Final answer
    x = 683.76

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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.