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Finding the Fourth Proportional to 735.80, 1,103.70 and 687.80

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Solution

The fourth proportional to 735.80, 1,103.70 and 687.80 is: 1,031.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.80 : 1,103.70 = 687.80 : x
  2. Step 2: Convert to fraction form
    735.80/1,103.70 = 687.80/x
  3. Step 3: Cross multiply
    735.80x = 1,103.70 × 687.80
  4. Step 4: Simplify right side
    735.80x = 759,124.86
  5. Step 5: Solve for x
    x = 759,124.86/735.80
  6. Step 6: Final answer
    x = 1,031.70

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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.