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Finding the Fourth Proportional to 958.50, 1,322.82 and 609.12

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Solution

The fourth proportional to 958.50, 1,322.82 and 609.12 is: 840.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.50 : 1,322.82 = 609.12 : x
  2. Step 2: Convert to fraction form
    958.50/1,322.82 = 609.12/x
  3. Step 3: Cross multiply
    958.50x = 1,322.82 × 609.12
  4. Step 4: Simplify right side
    958.50x = 805,756.12
  5. Step 5: Solve for x
    x = 805,756.12/958.50
  6. Step 6: Final answer
    x = 840.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.