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Finding the Fourth Proportional to 735.84, 1,101.60 and 515.70

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Solution

The fourth proportional to 735.84, 1,101.60 and 515.70 is: 772.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.84 : 1,101.60 = 515.70 : x
  2. Step 2: Convert to fraction form
    735.84/1,101.60 = 515.70/x
  3. Step 3: Cross multiply
    735.84x = 1,101.60 × 515.70
  4. Step 4: Simplify right side
    735.84x = 568,095.12
  5. Step 5: Solve for x
    x = 568,095.12/735.84
  6. Step 6: Final answer
    x = 772.04

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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.