Home / 1,370.56-2,056.36-823.14

Finding the Fourth Proportional to 1,370.56, 2,056.36 and 823.14

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Solution

The fourth proportional to 1,370.56, 2,056.36 and 823.14 is: 1,235.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.56 : 2,056.36 = 823.14 : x
  2. Step 2: Convert to fraction form
    1,370.56/2,056.36 = 823.14/x
  3. Step 3: Cross multiply
    1,370.56x = 2,056.36 × 823.14
  4. Step 4: Simplify right side
    1,370.56x = 1,692,664.97
  5. Step 5: Solve for x
    x = 1,692,664.97/1,370.56
  6. Step 6: Final answer
    x = 1,235.01

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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.