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Finding the Fourth Proportional to 925.21, 1,386.73 and 513.60

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Solution

The fourth proportional to 925.21, 1,386.73 and 513.60 is: 769.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.21 : 1,386.73 = 513.60 : x
  2. Step 2: Convert to fraction form
    925.21/1,386.73 = 513.60/x
  3. Step 3: Cross multiply
    925.21x = 1,386.73 × 513.60
  4. Step 4: Simplify right side
    925.21x = 712,224.53
  5. Step 5: Solve for x
    x = 712,224.53/925.21
  6. Step 6: Final answer
    x = 769.80

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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.