Home / 1,412.06-2,116.92-590.94

Finding the Fourth Proportional to 1,412.06, 2,116.92 and 590.94

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Solution

The fourth proportional to 1,412.06, 2,116.92 and 590.94 is: 885.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.06 : 2,116.92 = 590.94 : x
  2. Step 2: Convert to fraction form
    1,412.06/2,116.92 = 590.94/x
  3. Step 3: Cross multiply
    1,412.06x = 2,116.92 × 590.94
  4. Step 4: Simplify right side
    1,412.06x = 1,250,972.70
  5. Step 5: Solve for x
    x = 1,250,972.70/1,412.06
  6. Step 6: Final answer
    x = 885.92

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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.