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Finding the Fourth Proportional to 1,234.24, 1,851.30 and 368.53

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Solution

The fourth proportional to 1,234.24, 1,851.30 and 368.53 is: 552.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.24 : 1,851.30 = 368.53 : x
  2. Step 2: Convert to fraction form
    1,234.24/1,851.30 = 368.53/x
  3. Step 3: Cross multiply
    1,234.24x = 1,851.30 × 368.53
  4. Step 4: Simplify right side
    1,234.24x = 682,250.33
  5. Step 5: Solve for x
    x = 682,250.33/1,234.24
  6. Step 6: Final answer
    x = 552.77

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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.