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Finding the Fourth Proportional to 1,234.79, 1,851.33 and 464.63

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Solution

The fourth proportional to 1,234.79, 1,851.33 and 464.63 is: 696.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.79 : 1,851.33 = 464.63 : x
  2. Step 2: Convert to fraction form
    1,234.79/1,851.33 = 464.63/x
  3. Step 3: Cross multiply
    1,234.79x = 1,851.33 × 464.63
  4. Step 4: Simplify right side
    1,234.79x = 860,174.20
  5. Step 5: Solve for x
    x = 860,174.20/1,234.79
  6. Step 6: Final answer
    x = 696.62

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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.