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Finding the Fourth Proportional to 836.55, 1,254.92 and 289.13

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Solution

The fourth proportional to 836.55, 1,254.92 and 289.13 is: 433.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.55 : 1,254.92 = 289.13 : x
  2. Step 2: Convert to fraction form
    836.55/1,254.92 = 289.13/x
  3. Step 3: Cross multiply
    836.55x = 1,254.92 × 289.13
  4. Step 4: Simplify right side
    836.55x = 362,827.30
  5. Step 5: Solve for x
    x = 362,827.30/836.55
  6. Step 6: Final answer
    x = 433.72

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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.