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Finding the Fourth Proportional to 836.20, 1,153.81 and 537.51

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Solution

The fourth proportional to 836.20, 1,153.81 and 537.51 is: 741.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.20 : 1,153.81 = 537.51 : x
  2. Step 2: Convert to fraction form
    836.20/1,153.81 = 537.51/x
  3. Step 3: Cross multiply
    836.20x = 1,153.81 × 537.51
  4. Step 4: Simplify right side
    836.20x = 620,182.92
  5. Step 5: Solve for x
    x = 620,182.92/836.20
  6. Step 6: Final answer
    x = 741.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.