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Finding the Fourth Proportional to 955.68, 1,433.72 and 462.44

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Solution

The fourth proportional to 955.68, 1,433.72 and 462.44 is: 693.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.68 : 1,433.72 = 462.44 : x
  2. Step 2: Convert to fraction form
    955.68/1,433.72 = 462.44/x
  3. Step 3: Cross multiply
    955.68x = 1,433.72 × 462.44
  4. Step 4: Simplify right side
    955.68x = 663,000.00
  5. Step 5: Solve for x
    x = 663,000.00/955.68
  6. Step 6: Final answer
    x = 693.75

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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.