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Finding the Fourth Proportional to 860.13, 1,289.70 and 757.62

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Solution

The fourth proportional to 860.13, 1,289.70 and 757.62 is: 1,135.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.13 : 1,289.70 = 757.62 : x
  2. Step 2: Convert to fraction form
    860.13/1,289.70 = 757.62/x
  3. Step 3: Cross multiply
    860.13x = 1,289.70 × 757.62
  4. Step 4: Simplify right side
    860.13x = 977,102.51
  5. Step 5: Solve for x
    x = 977,102.51/860.13
  6. Step 6: Final answer
    x = 1,135.99

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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.