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Finding the Fourth Proportional to 950.19, 1,423.73 and 580.10

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Solution

The fourth proportional to 950.19, 1,423.73 and 580.10 is: 869.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.19 : 1,423.73 = 580.10 : x
  2. Step 2: Convert to fraction form
    950.19/1,423.73 = 580.10/x
  3. Step 3: Cross multiply
    950.19x = 1,423.73 × 580.10
  4. Step 4: Simplify right side
    950.19x = 825,895.75
  5. Step 5: Solve for x
    x = 825,895.75/950.19
  6. Step 6: Final answer
    x = 869.19

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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.