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Finding the Fourth Proportional to 1,233.59, 1,702.27 and 673.94

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Solution

The fourth proportional to 1,233.59, 1,702.27 and 673.94 is: 929.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.59 : 1,702.27 = 673.94 : x
  2. Step 2: Convert to fraction form
    1,233.59/1,702.27 = 673.94/x
  3. Step 3: Cross multiply
    1,233.59x = 1,702.27 × 673.94
  4. Step 4: Simplify right side
    1,233.59x = 1,147,227.84
  5. Step 5: Solve for x
    x = 1,147,227.84/1,233.59
  6. Step 6: Final answer
    x = 929.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.