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Finding the Fourth Proportional to 950.59, 1,423.99 and 586.09

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Solution

The fourth proportional to 950.59, 1,423.99 and 586.09 is: 877.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.59 : 1,423.99 = 586.09 : x
  2. Step 2: Convert to fraction form
    950.59/1,423.99 = 586.09/x
  3. Step 3: Cross multiply
    950.59x = 1,423.99 × 586.09
  4. Step 4: Simplify right side
    950.59x = 834,586.30
  5. Step 5: Solve for x
    x = 834,586.30/950.59
  6. Step 6: Final answer
    x = 877.97

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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.