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Finding the Fourth Proportional to 735.52, 1,103.90 and 302.98

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Solution

The fourth proportional to 735.52, 1,103.90 and 302.98 is: 454.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.52 : 1,103.90 = 302.98 : x
  2. Step 2: Convert to fraction form
    735.52/1,103.90 = 302.98/x
  3. Step 3: Cross multiply
    735.52x = 1,103.90 × 302.98
  4. Step 4: Simplify right side
    735.52x = 334,459.62
  5. Step 5: Solve for x
    x = 334,459.62/735.52
  6. Step 6: Final answer
    x = 454.73

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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.