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Finding the Fourth Proportional to 735.76, 1,102.92 and 351.28

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Solution

The fourth proportional to 735.76, 1,102.92 and 351.28 is: 526.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.76 : 1,102.92 = 351.28 : x
  2. Step 2: Convert to fraction form
    735.76/1,102.92 = 351.28/x
  3. Step 3: Cross multiply
    735.76x = 1,102.92 × 351.28
  4. Step 4: Simplify right side
    735.76x = 387,433.74
  5. Step 5: Solve for x
    x = 387,433.74/735.76
  6. Step 6: Final answer
    x = 526.58

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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.