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Finding the Fourth Proportional to 1,497.87, 2,246.91 and 804.41

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Solution

The fourth proportional to 1,497.87, 2,246.91 and 804.41 is: 1,206.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.87 : 2,246.91 = 804.41 : x
  2. Step 2: Convert to fraction form
    1,497.87/2,246.91 = 804.41/x
  3. Step 3: Cross multiply
    1,497.87x = 2,246.91 × 804.41
  4. Step 4: Simplify right side
    1,497.87x = 1,807,431.52
  5. Step 5: Solve for x
    x = 1,807,431.52/1,497.87
  6. Step 6: Final answer
    x = 1,206.67

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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.