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Finding the Fourth Proportional to 950.35, 1,423.95 and 584.36

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Solution

The fourth proportional to 950.35, 1,423.95 and 584.36 is: 875.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.35 : 1,423.95 = 584.36 : x
  2. Step 2: Convert to fraction form
    950.35/1,423.95 = 584.36/x
  3. Step 3: Cross multiply
    950.35x = 1,423.95 × 584.36
  4. Step 4: Simplify right side
    950.35x = 832,099.42
  5. Step 5: Solve for x
    x = 832,099.42/950.35
  6. Step 6: Final answer
    x = 875.58

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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.