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Finding the Fourth Proportional to 860.58, 1,289.51 and 513.09

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Solution

The fourth proportional to 860.58, 1,289.51 and 513.09 is: 768.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.58 : 1,289.51 = 513.09 : x
  2. Step 2: Convert to fraction form
    860.58/1,289.51 = 513.09/x
  3. Step 3: Cross multiply
    860.58x = 1,289.51 × 513.09
  4. Step 4: Simplify right side
    860.58x = 661,632.12
  5. Step 5: Solve for x
    x = 661,632.12/860.58
  6. Step 6: Final answer
    x = 768.82

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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.