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Finding the Fourth Proportional to 757.52, 1,135.52 and 684.24

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Solution

The fourth proportional to 757.52, 1,135.52 and 684.24 is: 1,025.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.52 : 1,135.52 = 684.24 : x
  2. Step 2: Convert to fraction form
    757.52/1,135.52 = 684.24/x
  3. Step 3: Cross multiply
    757.52x = 1,135.52 × 684.24
  4. Step 4: Simplify right side
    757.52x = 776,968.20
  5. Step 5: Solve for x
    x = 776,968.20/757.52
  6. Step 6: Final answer
    x = 1,025.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.