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Finding the Fourth Proportional to 955.98, 1,433.21 and 493.83

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Solution

The fourth proportional to 955.98, 1,433.21 and 493.83 is: 740.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.98 : 1,433.21 = 493.83 : x
  2. Step 2: Convert to fraction form
    955.98/1,433.21 = 493.83/x
  3. Step 3: Cross multiply
    955.98x = 1,433.21 × 493.83
  4. Step 4: Simplify right side
    955.98x = 707,759.63
  5. Step 5: Solve for x
    x = 707,759.63/955.98
  6. Step 6: Final answer
    x = 740.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.