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Finding the Fourth Proportional to 950.31, 1,423.37 and 583.99

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Solution

The fourth proportional to 950.31, 1,423.37 and 583.99 is: 874.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.31 : 1,423.37 = 583.99 : x
  2. Step 2: Convert to fraction form
    950.31/1,423.37 = 583.99/x
  3. Step 3: Cross multiply
    950.31x = 1,423.37 × 583.99
  4. Step 4: Simplify right side
    950.31x = 831,231.75
  5. Step 5: Solve for x
    x = 831,231.75/950.31
  6. Step 6: Final answer
    x = 874.70

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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.