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Finding the Fourth Proportional to 836.17, 1,252.85 and 288.05

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Solution

The fourth proportional to 836.17, 1,252.85 and 288.05 is: 431.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.17 : 1,252.85 = 288.05 : x
  2. Step 2: Convert to fraction form
    836.17/1,252.85 = 288.05/x
  3. Step 3: Cross multiply
    836.17x = 1,252.85 × 288.05
  4. Step 4: Simplify right side
    836.17x = 360,875.74
  5. Step 5: Solve for x
    x = 360,875.74/836.17
  6. Step 6: Final answer
    x = 431.58

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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.