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Finding the Fourth Proportional to 924.20, 1,385.20 and 461.84

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Solution

The fourth proportional to 924.20, 1,385.20 and 461.84 is: 692.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.20 : 1,385.20 = 461.84 : x
  2. Step 2: Convert to fraction form
    924.20/1,385.20 = 461.84/x
  3. Step 3: Cross multiply
    924.20x = 1,385.20 × 461.84
  4. Step 4: Simplify right side
    924.20x = 639,740.77
  5. Step 5: Solve for x
    x = 639,740.77/924.20
  6. Step 6: Final answer
    x = 692.21

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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.