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Finding the Fourth Proportional to 1,122.67, 1,684.02 and 392.08

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Solution

The fourth proportional to 1,122.67, 1,684.02 and 392.08 is: 588.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.67 : 1,684.02 = 392.08 : x
  2. Step 2: Convert to fraction form
    1,122.67/1,684.02 = 392.08/x
  3. Step 3: Cross multiply
    1,122.67x = 1,684.02 × 392.08
  4. Step 4: Simplify right side
    1,122.67x = 660,270.56
  5. Step 5: Solve for x
    x = 660,270.56/1,122.67
  6. Step 6: Final answer
    x = 588.13

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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.