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Finding the Fourth Proportional to 950.12, 1,423.90 and 707.56

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Solution

The fourth proportional to 950.12, 1,423.90 and 707.56 is: 1,060.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.12 : 1,423.90 = 707.56 : x
  2. Step 2: Convert to fraction form
    950.12/1,423.90 = 707.56/x
  3. Step 3: Cross multiply
    950.12x = 1,423.90 × 707.56
  4. Step 4: Simplify right side
    950.12x = 1,007,494.68
  5. Step 5: Solve for x
    x = 1,007,494.68/950.12
  6. Step 6: Final answer
    x = 1,060.39

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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.