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Finding the Fourth Proportional to 1,431.21, 1,973.78 and 982.87

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Solution

The fourth proportional to 1,431.21, 1,973.78 and 982.87 is: 1,355.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.21 : 1,973.78 = 982.87 : x
  2. Step 2: Convert to fraction form
    1,431.21/1,973.78 = 982.87/x
  3. Step 3: Cross multiply
    1,431.21x = 1,973.78 × 982.87
  4. Step 4: Simplify right side
    1,431.21x = 1,939,969.15
  5. Step 5: Solve for x
    x = 1,939,969.15/1,431.21
  6. Step 6: Final answer
    x = 1,355.47

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Why These Related Problems?

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