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Finding the Fourth Proportional to 1,234.19, 1,849.65 and 453.47

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Solution

The fourth proportional to 1,234.19, 1,849.65 and 453.47 is: 679.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.19 : 1,849.65 = 453.47 : x
  2. Step 2: Convert to fraction form
    1,234.19/1,849.65 = 453.47/x
  3. Step 3: Cross multiply
    1,234.19x = 1,849.65 × 453.47
  4. Step 4: Simplify right side
    1,234.19x = 838,760.79
  5. Step 5: Solve for x
    x = 838,760.79/1,234.19
  6. Step 6: Final answer
    x = 679.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.