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Finding the Fourth Proportional to 954.23, 1,431.99 and 406.53

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Solution

The fourth proportional to 954.23, 1,431.99 and 406.53 is: 610.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.23 : 1,431.99 = 406.53 : x
  2. Step 2: Convert to fraction form
    954.23/1,431.99 = 406.53/x
  3. Step 3: Cross multiply
    954.23x = 1,431.99 × 406.53
  4. Step 4: Simplify right side
    954.23x = 582,146.89
  5. Step 5: Solve for x
    x = 582,146.89/954.23
  6. Step 6: Final answer
    x = 610.07

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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.