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Finding the Fourth Proportional to 1,420.05, 1,958.80 and 999.66

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Solution

The fourth proportional to 1,420.05, 1,958.80 and 999.66 is: 1,378.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.05 : 1,958.80 = 999.66 : x
  2. Step 2: Convert to fraction form
    1,420.05/1,958.80 = 999.66/x
  3. Step 3: Cross multiply
    1,420.05x = 1,958.80 × 999.66
  4. Step 4: Simplify right side
    1,420.05x = 1,958,134.01
  5. Step 5: Solve for x
    x = 1,958,134.01/1,420.05
  6. Step 6: Final answer
    x = 1,378.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.