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Finding the Fourth Proportional to 949.61, 1,423.84 and 462.17

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Solution

The fourth proportional to 949.61, 1,423.84 and 462.17 is: 692.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.61 : 1,423.84 = 462.17 : x
  2. Step 2: Convert to fraction form
    949.61/1,423.84 = 462.17/x
  3. Step 3: Cross multiply
    949.61x = 1,423.84 × 462.17
  4. Step 4: Simplify right side
    949.61x = 658,056.13
  5. Step 5: Solve for x
    x = 658,056.13/949.61
  6. Step 6: Final answer
    x = 692.98

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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.