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Finding the Fourth Proportional to 950.48, 1,423.65 and 462.50

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Solution

The fourth proportional to 950.48, 1,423.65 and 462.50 is: 692.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.48 : 1,423.65 = 462.50 : x
  2. Step 2: Convert to fraction form
    950.48/1,423.65 = 462.50/x
  3. Step 3: Cross multiply
    950.48x = 1,423.65 × 462.50
  4. Step 4: Simplify right side
    950.48x = 658,438.13
  5. Step 5: Solve for x
    x = 658,438.13/950.48
  6. Step 6: Final answer
    x = 692.74

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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.