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Finding the Fourth Proportional to 1,246.46, 1,719.78 and 804.20

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Solution

The fourth proportional to 1,246.46, 1,719.78 and 804.20 is: 1,109.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.46 : 1,719.78 = 804.20 : x
  2. Step 2: Convert to fraction form
    1,246.46/1,719.78 = 804.20/x
  3. Step 3: Cross multiply
    1,246.46x = 1,719.78 × 804.20
  4. Step 4: Simplify right side
    1,246.46x = 1,383,047.08
  5. Step 5: Solve for x
    x = 1,383,047.08/1,246.46
  6. Step 6: Final answer
    x = 1,109.58

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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.