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Finding the Fourth Proportional to 1,433.19, 1,976.99 and 835.61

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Solution

The fourth proportional to 1,433.19, 1,976.99 and 835.61 is: 1,152.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.19 : 1,976.99 = 835.61 : x
  2. Step 2: Convert to fraction form
    1,433.19/1,976.99 = 835.61/x
  3. Step 3: Cross multiply
    1,433.19x = 1,976.99 × 835.61
  4. Step 4: Simplify right side
    1,433.19x = 1,651,992.61
  5. Step 5: Solve for x
    x = 1,651,992.61/1,433.19
  6. Step 6: Final answer
    x = 1,152.67

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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.