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Finding the Fourth Proportional to 953.83, 1,431.67 and 460.59

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Solution

The fourth proportional to 953.83, 1,431.67 and 460.59 is: 691.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.83 : 1,431.67 = 460.59 : x
  2. Step 2: Convert to fraction form
    953.83/1,431.67 = 460.59/x
  3. Step 3: Cross multiply
    953.83x = 1,431.67 × 460.59
  4. Step 4: Simplify right side
    953.83x = 659,405.73
  5. Step 5: Solve for x
    x = 659,405.73/953.83
  6. Step 6: Final answer
    x = 691.32

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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.