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Finding the Fourth Proportional to 1,449.32, 1,998.69 and 977.29

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Solution

The fourth proportional to 1,449.32, 1,998.69 and 977.29 is: 1,347.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.32 : 1,998.69 = 977.29 : x
  2. Step 2: Convert to fraction form
    1,449.32/1,998.69 = 977.29/x
  3. Step 3: Cross multiply
    1,449.32x = 1,998.69 × 977.29
  4. Step 4: Simplify right side
    1,449.32x = 1,953,291.09
  5. Step 5: Solve for x
    x = 1,953,291.09/1,449.32
  6. Step 6: Final answer
    x = 1,347.73

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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.