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Finding the Fourth Proportional to 1,316.67, 1,975.30 and 392.23

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Solution

The fourth proportional to 1,316.67, 1,975.30 and 392.23 is: 588.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.67 : 1,975.30 = 392.23 : x
  2. Step 2: Convert to fraction form
    1,316.67/1,975.30 = 392.23/x
  3. Step 3: Cross multiply
    1,316.67x = 1,975.30 × 392.23
  4. Step 4: Simplify right side
    1,316.67x = 774,771.92
  5. Step 5: Solve for x
    x = 774,771.92/1,316.67
  6. Step 6: Final answer
    x = 588.43

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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.