Home / 1,342.30-2,011.29-828.22

Finding the Fourth Proportional to 1,342.30, 2,011.29 and 828.22

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Solution

The fourth proportional to 1,342.30, 2,011.29 and 828.22 is: 1,241.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.30 : 2,011.29 = 828.22 : x
  2. Step 2: Convert to fraction form
    1,342.30/2,011.29 = 828.22/x
  3. Step 3: Cross multiply
    1,342.30x = 2,011.29 × 828.22
  4. Step 4: Simplify right side
    1,342.30x = 1,665,790.60
  5. Step 5: Solve for x
    x = 1,665,790.60/1,342.30
  6. Step 6: Final answer
    x = 1,241.00

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1.5x scale

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.