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Finding the Fourth Proportional to 955.20, 1,433.69 and 493.30

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Solution

The fourth proportional to 955.20, 1,433.69 and 493.30 is: 740.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.20 : 1,433.69 = 493.30 : x
  2. Step 2: Convert to fraction form
    955.20/1,433.69 = 493.30/x
  3. Step 3: Cross multiply
    955.20x = 1,433.69 × 493.30
  4. Step 4: Simplify right side
    955.20x = 707,239.28
  5. Step 5: Solve for x
    x = 707,239.28/955.20
  6. Step 6: Final answer
    x = 740.41

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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.