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Finding the Fourth Proportional to 950.22, 1,423.76 and 584.23

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Solution

The fourth proportional to 950.22, 1,423.76 and 584.23 is: 875.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.22 : 1,423.76 = 584.23 : x
  2. Step 2: Convert to fraction form
    950.22/1,423.76 = 584.23/x
  3. Step 3: Cross multiply
    950.22x = 1,423.76 × 584.23
  4. Step 4: Simplify right side
    950.22x = 831,803.30
  5. Step 5: Solve for x
    x = 831,803.30/950.22
  6. Step 6: Final answer
    x = 875.38

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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.