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Finding the Fourth Proportional to 950.34, 1,423.86 and 778.08

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Solution

The fourth proportional to 950.34, 1,423.86 and 778.08 is: 1,165.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.34 : 1,423.86 = 778.08 : x
  2. Step 2: Convert to fraction form
    950.34/1,423.86 = 778.08/x
  3. Step 3: Cross multiply
    950.34x = 1,423.86 × 778.08
  4. Step 4: Simplify right side
    950.34x = 1,107,876.99
  5. Step 5: Solve for x
    x = 1,107,876.99/950.34
  6. Step 6: Final answer
    x = 1,165.77

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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.