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Finding the Fourth Proportional to 1,230.02, 1,846.04 and 537.20

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Solution

The fourth proportional to 1,230.02, 1,846.04 and 537.20 is: 806.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.02 : 1,846.04 = 537.20 : x
  2. Step 2: Convert to fraction form
    1,230.02/1,846.04 = 537.20/x
  3. Step 3: Cross multiply
    1,230.02x = 1,846.04 × 537.20
  4. Step 4: Simplify right side
    1,230.02x = 991,692.69
  5. Step 5: Solve for x
    x = 991,692.69/1,230.02
  6. Step 6: Final answer
    x = 806.24

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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.