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Finding the Fourth Proportional to 954.32, 1,431.63 and 406.58

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Solution

The fourth proportional to 954.32, 1,431.63 and 406.58 is: 609.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.32 : 1,431.63 = 406.58 : x
  2. Step 2: Convert to fraction form
    954.32/1,431.63 = 406.58/x
  3. Step 3: Cross multiply
    954.32x = 1,431.63 × 406.58
  4. Step 4: Simplify right side
    954.32x = 582,072.13
  5. Step 5: Solve for x
    x = 582,072.13/954.32
  6. Step 6: Final answer
    x = 609.93

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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.