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Finding the Fourth Proportional to 543.76, 816.36 and 520.60

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Solution

The fourth proportional to 543.76, 816.36 and 520.60 is: 781.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.76 : 816.36 = 520.60 : x
  2. Step 2: Convert to fraction form
    543.76/816.36 = 520.60/x
  3. Step 3: Cross multiply
    543.76x = 816.36 × 520.60
  4. Step 4: Simplify right side
    543.76x = 424,997.02
  5. Step 5: Solve for x
    x = 424,997.02/543.76
  6. Step 6: Final answer
    x = 781.59

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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.