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Finding the Fourth Proportional to 1,123.33, 1,684.94 and 392.96

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Solution

The fourth proportional to 1,123.33, 1,684.94 and 392.96 is: 589.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.33 : 1,684.94 = 392.96 : x
  2. Step 2: Convert to fraction form
    1,123.33/1,684.94 = 392.96/x
  3. Step 3: Cross multiply
    1,123.33x = 1,684.94 × 392.96
  4. Step 4: Simplify right side
    1,123.33x = 662,114.02
  5. Step 5: Solve for x
    x = 662,114.02/1,123.33
  6. Step 6: Final answer
    x = 589.42

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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.