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Finding the Fourth Proportional to 1,330.64, 1,835.83 and 806.84

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Solution

The fourth proportional to 1,330.64, 1,835.83 and 806.84 is: 1,113.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.64 : 1,835.83 = 806.84 : x
  2. Step 2: Convert to fraction form
    1,330.64/1,835.83 = 806.84/x
  3. Step 3: Cross multiply
    1,330.64x = 1,835.83 × 806.84
  4. Step 4: Simplify right side
    1,330.64x = 1,481,221.08
  5. Step 5: Solve for x
    x = 1,481,221.08/1,330.64
  6. Step 6: Final answer
    x = 1,113.16

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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.