Home / 1,137.24-1,701.90-982.44

Finding the Fourth Proportional to 1,137.24, 1,701.90 and 982.44

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Solution

The fourth proportional to 1,137.24, 1,701.90 and 982.44 is: 1,470.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.24 : 1,701.90 = 982.44 : x
  2. Step 2: Convert to fraction form
    1,137.24/1,701.90 = 982.44/x
  3. Step 3: Cross multiply
    1,137.24x = 1,701.90 × 982.44
  4. Step 4: Simplify right side
    1,137.24x = 1,672,014.64
  5. Step 5: Solve for x
    x = 1,672,014.64/1,137.24
  6. Step 6: Final answer
    x = 1,470.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.