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Finding the Fourth Proportional to 756.30, 1,134.45 and 689.10

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Solution

The fourth proportional to 756.30, 1,134.45 and 689.10 is: 1,033.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.30 : 1,134.45 = 689.10 : x
  2. Step 2: Convert to fraction form
    756.30/1,134.45 = 689.10/x
  3. Step 3: Cross multiply
    756.30x = 1,134.45 × 689.10
  4. Step 4: Simplify right side
    756.30x = 781,749.50
  5. Step 5: Solve for x
    x = 781,749.50/756.30
  6. Step 6: Final answer
    x = 1,033.65

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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.