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Finding the Fourth Proportional to 543.60, 813.06 and 512.46

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Solution

The fourth proportional to 543.60, 813.06 and 512.46 is: 766.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.60 : 813.06 = 512.46 : x
  2. Step 2: Convert to fraction form
    543.60/813.06 = 512.46/x
  3. Step 3: Cross multiply
    543.60x = 813.06 × 512.46
  4. Step 4: Simplify right side
    543.60x = 416,660.73
  5. Step 5: Solve for x
    x = 416,660.73/543.60
  6. Step 6: Final answer
    x = 766.48

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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.