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Finding the Fourth Proportional to 836.54, 1,254.87 and 288.65

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Solution

The fourth proportional to 836.54, 1,254.87 and 288.65 is: 432.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.54 : 1,254.87 = 288.65 : x
  2. Step 2: Convert to fraction form
    836.54/1,254.87 = 288.65/x
  3. Step 3: Cross multiply
    836.54x = 1,254.87 × 288.65
  4. Step 4: Simplify right side
    836.54x = 362,211.95
  5. Step 5: Solve for x
    x = 362,211.95/836.54
  6. Step 6: Final answer
    x = 432.99

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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.