Home / 1,014.08-1,519.74-984.52

Finding the Fourth Proportional to 1,014.08, 1,519.74 and 984.52

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Solution

The fourth proportional to 1,014.08, 1,519.74 and 984.52 is: 1,475.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.08 : 1,519.74 = 984.52 : x
  2. Step 2: Convert to fraction form
    1,014.08/1,519.74 = 984.52/x
  3. Step 3: Cross multiply
    1,014.08x = 1,519.74 × 984.52
  4. Step 4: Simplify right side
    1,014.08x = 1,496,214.42
  5. Step 5: Solve for x
    x = 1,496,214.42/1,014.08
  6. Step 6: Final answer
    x = 1,475.44

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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.