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Finding the Fourth Proportional to 954.90, 1,431.14 and 434.75

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Solution

The fourth proportional to 954.90, 1,431.14 and 434.75 is: 651.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.90 : 1,431.14 = 434.75 : x
  2. Step 2: Convert to fraction form
    954.90/1,431.14 = 434.75/x
  3. Step 3: Cross multiply
    954.90x = 1,431.14 × 434.75
  4. Step 4: Simplify right side
    954.90x = 622,178.79
  5. Step 5: Solve for x
    x = 622,178.79/954.90
  6. Step 6: Final answer
    x = 651.56

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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.