Home / 746.03-1,119.63-284.14

Finding the Fourth Proportional to 746.03, 1,119.63 and 284.14

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Solution

The fourth proportional to 746.03, 1,119.63 and 284.14 is: 426.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.03 : 1,119.63 = 284.14 : x
  2. Step 2: Convert to fraction form
    746.03/1,119.63 = 284.14/x
  3. Step 3: Cross multiply
    746.03x = 1,119.63 × 284.14
  4. Step 4: Simplify right side
    746.03x = 318,131.67
  5. Step 5: Solve for x
    x = 318,131.67/746.03
  6. Step 6: Final answer
    x = 426.43

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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.