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Finding the Fourth Proportional to 1,230.79, 1,845.10 and 461.83

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Solution

The fourth proportional to 1,230.79, 1,845.10 and 461.83 is: 692.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.79 : 1,845.10 = 461.83 : x
  2. Step 2: Convert to fraction form
    1,230.79/1,845.10 = 461.83/x
  3. Step 3: Cross multiply
    1,230.79x = 1,845.10 × 461.83
  4. Step 4: Simplify right side
    1,230.79x = 852,122.53
  5. Step 5: Solve for x
    x = 852,122.53/1,230.79
  6. Step 6: Final answer
    x = 692.34

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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.