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Finding the Fourth Proportional to 954.57, 1,432.16 and 406.81

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Solution

The fourth proportional to 954.57, 1,432.16 and 406.81 is: 610.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.57 : 1,432.16 = 406.81 : x
  2. Step 2: Convert to fraction form
    954.57/1,432.16 = 406.81/x
  3. Step 3: Cross multiply
    954.57x = 1,432.16 × 406.81
  4. Step 4: Simplify right side
    954.57x = 582,617.01
  5. Step 5: Solve for x
    x = 582,617.01/954.57
  6. Step 6: Final answer
    x = 610.34

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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.