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Finding the Fourth Proportional to 1,071.82, 1,614.33 and 995.77

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Solution

The fourth proportional to 1,071.82, 1,614.33 and 995.77 is: 1,499.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.82 : 1,614.33 = 995.77 : x
  2. Step 2: Convert to fraction form
    1,071.82/1,614.33 = 995.77/x
  3. Step 3: Cross multiply
    1,071.82x = 1,614.33 × 995.77
  4. Step 4: Simplify right side
    1,071.82x = 1,607,501.38
  5. Step 5: Solve for x
    x = 1,607,501.38/1,071.82
  6. Step 6: Final answer
    x = 1,499.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.