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Finding the Fourth Proportional to 577.68, 865.40 and 513.04

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Solution

The fourth proportional to 577.68, 865.40 and 513.04 is: 768.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.68 : 865.40 = 513.04 : x
  2. Step 2: Convert to fraction form
    577.68/865.40 = 513.04/x
  3. Step 3: Cross multiply
    577.68x = 865.40 × 513.04
  4. Step 4: Simplify right side
    577.68x = 443,984.82
  5. Step 5: Solve for x
    x = 443,984.82/577.68
  6. Step 6: Final answer
    x = 768.57

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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.