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Finding the Fourth Proportional to 735.88, 1,103.10 and 302.92

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Solution

The fourth proportional to 735.88, 1,103.10 and 302.92 is: 454.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.88 : 1,103.10 = 302.92 : x
  2. Step 2: Convert to fraction form
    735.88/1,103.10 = 302.92/x
  3. Step 3: Cross multiply
    735.88x = 1,103.10 × 302.92
  4. Step 4: Simplify right side
    735.88x = 334,151.05
  5. Step 5: Solve for x
    x = 334,151.05/735.88
  6. Step 6: Final answer
    x = 454.08

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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.