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Finding the Fourth Proportional to 954.80, 1,431.40 and 406.92

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Solution

The fourth proportional to 954.80, 1,431.40 and 406.92 is: 610.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.80 : 1,431.40 = 406.92 : x
  2. Step 2: Convert to fraction form
    954.80/1,431.40 = 406.92/x
  3. Step 3: Cross multiply
    954.80x = 1,431.40 × 406.92
  4. Step 4: Simplify right side
    954.80x = 582,465.29
  5. Step 5: Solve for x
    x = 582,465.29/954.80
  6. Step 6: Final answer
    x = 610.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.