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Finding the Fourth Proportional to 836.48, 1,254.40 and 828.48

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Solution

The fourth proportional to 836.48, 1,254.40 and 828.48 is: 1,242.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.48 : 1,254.40 = 828.48 : x
  2. Step 2: Convert to fraction form
    836.48/1,254.40 = 828.48/x
  3. Step 3: Cross multiply
    836.48x = 1,254.40 × 828.48
  4. Step 4: Simplify right side
    836.48x = 1,039,245.31
  5. Step 5: Solve for x
    x = 1,039,245.31/836.48
  6. Step 6: Final answer
    x = 1,242.40

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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.