Home / 1,438.32-2,155.79-822.45

Finding the Fourth Proportional to 1,438.32, 2,155.79 and 822.45

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Solution

The fourth proportional to 1,438.32, 2,155.79 and 822.45 is: 1,232.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.32 : 2,155.79 = 822.45 : x
  2. Step 2: Convert to fraction form
    1,438.32/2,155.79 = 822.45/x
  3. Step 3: Cross multiply
    1,438.32x = 2,155.79 × 822.45
  4. Step 4: Simplify right side
    1,438.32x = 1,773,039.63
  5. Step 5: Solve for x
    x = 1,773,039.63/1,438.32
  6. Step 6: Final answer
    x = 1,232.71

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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.