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Finding the Fourth Proportional to 1,223.92, 1,835.86 and 299.49

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Solution

The fourth proportional to 1,223.92, 1,835.86 and 299.49 is: 449.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.92 : 1,835.86 = 299.49 : x
  2. Step 2: Convert to fraction form
    1,223.92/1,835.86 = 299.49/x
  3. Step 3: Cross multiply
    1,223.92x = 1,835.86 × 299.49
  4. Step 4: Simplify right side
    1,223.92x = 549,814.80
  5. Step 5: Solve for x
    x = 549,814.80/1,223.92
  6. Step 6: Final answer
    x = 449.23

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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.