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Finding the Fourth Proportional to 946.92, 1,420.49 and 399.23

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Solution

The fourth proportional to 946.92, 1,420.49 and 399.23 is: 598.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.92 : 1,420.49 = 399.23 : x
  2. Step 2: Convert to fraction form
    946.92/1,420.49 = 399.23/x
  3. Step 3: Cross multiply
    946.92x = 1,420.49 × 399.23
  4. Step 4: Simplify right side
    946.92x = 567,102.22
  5. Step 5: Solve for x
    x = 567,102.22/946.92
  6. Step 6: Final answer
    x = 598.89

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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.