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Finding the Fourth Proportional to 954.33, 1,432.28 and 406.92

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Solution

The fourth proportional to 954.33, 1,432.28 and 406.92 is: 610.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.33 : 1,432.28 = 406.92 : x
  2. Step 2: Convert to fraction form
    954.33/1,432.28 = 406.92/x
  3. Step 3: Cross multiply
    954.33x = 1,432.28 × 406.92
  4. Step 4: Simplify right side
    954.33x = 582,829.77
  5. Step 5: Solve for x
    x = 582,829.77/954.33
  6. Step 6: Final answer
    x = 610.72

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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.