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Finding the Fourth Proportional to 1,233.69, 1,848.90 and 452.97

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Solution

The fourth proportional to 1,233.69, 1,848.90 and 452.97 is: 678.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.69 : 1,848.90 = 452.97 : x
  2. Step 2: Convert to fraction form
    1,233.69/1,848.90 = 452.97/x
  3. Step 3: Cross multiply
    1,233.69x = 1,848.90 × 452.97
  4. Step 4: Simplify right side
    1,233.69x = 837,496.23
  5. Step 5: Solve for x
    x = 837,496.23/1,233.69
  6. Step 6: Final answer
    x = 678.85

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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.