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Finding the Fourth Proportional to 756.23, 1,134.68 and 366.53

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Solution

The fourth proportional to 756.23, 1,134.68 and 366.53 is: 549.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.23 : 1,134.68 = 366.53 : x
  2. Step 2: Convert to fraction form
    756.23/1,134.68 = 366.53/x
  3. Step 3: Cross multiply
    756.23x = 1,134.68 × 366.53
  4. Step 4: Simplify right side
    756.23x = 415,891.01
  5. Step 5: Solve for x
    x = 415,891.01/756.23
  6. Step 6: Final answer
    x = 549.95

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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.