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Finding the Fourth Proportional to 953.87, 1,431 and 406.05

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Solution

The fourth proportional to 953.87, 1,431 and 406.05 is: 609.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.87 : 1,431 = 406.05 : x
  2. Step 2: Convert to fraction form
    953.87/1,431 = 406.05/x
  3. Step 3: Cross multiply
    953.87x = 1,431 × 406.05
  4. Step 4: Simplify right side
    953.87x = 581,057.55
  5. Step 5: Solve for x
    x = 581,057.55/953.87
  6. Step 6: Final answer
    x = 609.16

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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.