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Finding the Fourth Proportional to 958.11, 1,436.62 and 464.35

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Solution

The fourth proportional to 958.11, 1,436.62 and 464.35 is: 696.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.11 : 1,436.62 = 464.35 : x
  2. Step 2: Convert to fraction form
    958.11/1,436.62 = 464.35/x
  3. Step 3: Cross multiply
    958.11x = 1,436.62 × 464.35
  4. Step 4: Simplify right side
    958.11x = 667,094.50
  5. Step 5: Solve for x
    x = 667,094.50/958.11
  6. Step 6: Final answer
    x = 696.26

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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.