Home / 1,398.18-2,096.83-473.57

Finding the Fourth Proportional to 1,398.18, 2,096.83 and 473.57

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Solution

The fourth proportional to 1,398.18, 2,096.83 and 473.57 is: 710.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.18 : 2,096.83 = 473.57 : x
  2. Step 2: Convert to fraction form
    1,398.18/2,096.83 = 473.57/x
  3. Step 3: Cross multiply
    1,398.18x = 2,096.83 × 473.57
  4. Step 4: Simplify right side
    1,398.18x = 992,995.78
  5. Step 5: Solve for x
    x = 992,995.78/1,398.18
  6. Step 6: Final answer
    x = 710.21

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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.