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Finding the Fourth Proportional to 756.18, 1,134.54 and 391.14

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Solution

The fourth proportional to 756.18, 1,134.54 and 391.14 is: 586.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.18 : 1,134.54 = 391.14 : x
  2. Step 2: Convert to fraction form
    756.18/1,134.54 = 391.14/x
  3. Step 3: Cross multiply
    756.18x = 1,134.54 × 391.14
  4. Step 4: Simplify right side
    756.18x = 443,763.98
  5. Step 5: Solve for x
    x = 443,763.98/756.18
  6. Step 6: Final answer
    x = 586.85

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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.