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Finding the Fourth Proportional to 836.04, 1,254.14 and 273.16

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Solution

The fourth proportional to 836.04, 1,254.14 and 273.16 is: 409.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.04 : 1,254.14 = 273.16 : x
  2. Step 2: Convert to fraction form
    836.04/1,254.14 = 273.16/x
  3. Step 3: Cross multiply
    836.04x = 1,254.14 × 273.16
  4. Step 4: Simplify right side
    836.04x = 342,580.88
  5. Step 5: Solve for x
    x = 342,580.88/836.04
  6. Step 6: Final answer
    x = 409.77

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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.