Home / 1,412.59-2,116.33-589.43

Finding the Fourth Proportional to 1,412.59, 2,116.33 and 589.43

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Solution

The fourth proportional to 1,412.59, 2,116.33 and 589.43 is: 883.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.59 : 2,116.33 = 589.43 : x
  2. Step 2: Convert to fraction form
    1,412.59/2,116.33 = 589.43/x
  3. Step 3: Cross multiply
    1,412.59x = 2,116.33 × 589.43
  4. Step 4: Simplify right side
    1,412.59x = 1,247,420.30
  5. Step 5: Solve for x
    x = 1,247,420.30/1,412.59
  6. Step 6: Final answer
    x = 883.07

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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.