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Finding the Fourth Proportional to 950.56, 1,423.95 and 744.10

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Solution

The fourth proportional to 950.56, 1,423.95 and 744.10 is: 1,114.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.56 : 1,423.95 = 744.10 : x
  2. Step 2: Convert to fraction form
    950.56/1,423.95 = 744.10/x
  3. Step 3: Cross multiply
    950.56x = 1,423.95 × 744.10
  4. Step 4: Simplify right side
    950.56x = 1,059,561.20
  5. Step 5: Solve for x
    x = 1,059,561.20/950.56
  6. Step 6: Final answer
    x = 1,114.67

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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.