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Finding the Fourth Proportional to 954.57, 1,431.32 and 516.34

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Solution

The fourth proportional to 954.57, 1,431.32 and 516.34 is: 774.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.57 : 1,431.32 = 516.34 : x
  2. Step 2: Convert to fraction form
    954.57/1,431.32 = 516.34/x
  3. Step 3: Cross multiply
    954.57x = 1,431.32 × 516.34
  4. Step 4: Simplify right side
    954.57x = 739,047.77
  5. Step 5: Solve for x
    x = 739,047.77/954.57
  6. Step 6: Final answer
    x = 774.22

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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.