Home / 1,412.37-2,119.10-546.75

Finding the Fourth Proportional to 1,412.37, 2,119.10 and 546.75

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Solution

The fourth proportional to 1,412.37, 2,119.10 and 546.75 is: 820.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.37 : 2,119.10 = 546.75 : x
  2. Step 2: Convert to fraction form
    1,412.37/2,119.10 = 546.75/x
  3. Step 3: Cross multiply
    1,412.37x = 2,119.10 × 546.75
  4. Step 4: Simplify right side
    1,412.37x = 1,158,617.93
  5. Step 5: Solve for x
    x = 1,158,617.93/1,412.37
  6. Step 6: Final answer
    x = 820.34

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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.