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Finding the Fourth Proportional to 954.38, 1,431.54 and 514.96

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Solution

The fourth proportional to 954.38, 1,431.54 and 514.96 is: 772.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.38 : 1,431.54 = 514.96 : x
  2. Step 2: Convert to fraction form
    954.38/1,431.54 = 514.96/x
  3. Step 3: Cross multiply
    954.38x = 1,431.54 × 514.96
  4. Step 4: Simplify right side
    954.38x = 737,182.26
  5. Step 5: Solve for x
    x = 737,182.26/954.38
  6. Step 6: Final answer
    x = 772.42

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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.