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Finding the Fourth Proportional to 836.03, 1,253.72 and 288.07

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Solution

The fourth proportional to 836.03, 1,253.72 and 288.07 is: 431.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.03 : 1,253.72 = 288.07 : x
  2. Step 2: Convert to fraction form
    836.03/1,253.72 = 288.07/x
  3. Step 3: Cross multiply
    836.03x = 1,253.72 × 288.07
  4. Step 4: Simplify right side
    836.03x = 361,156.71
  5. Step 5: Solve for x
    x = 361,156.71/836.03
  6. Step 6: Final answer
    x = 431.99

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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.