Home / 1,412.14-2,118.89-546.25

Finding the Fourth Proportional to 1,412.14, 2,118.89 and 546.25

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Solution

The fourth proportional to 1,412.14, 2,118.89 and 546.25 is: 819.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.14 : 2,118.89 = 546.25 : x
  2. Step 2: Convert to fraction form
    1,412.14/2,118.89 = 546.25/x
  3. Step 3: Cross multiply
    1,412.14x = 2,118.89 × 546.25
  4. Step 4: Simplify right side
    1,412.14x = 1,157,443.66
  5. Step 5: Solve for x
    x = 1,157,443.66/1,412.14
  6. Step 6: Final answer
    x = 819.64

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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.