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Finding the Fourth Proportional to 1,204.62, 1,807.20 and 382.92

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Solution

The fourth proportional to 1,204.62, 1,807.20 and 382.92 is: 574.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.62 : 1,807.20 = 382.92 : x
  2. Step 2: Convert to fraction form
    1,204.62/1,807.20 = 382.92/x
  3. Step 3: Cross multiply
    1,204.62x = 1,807.20 × 382.92
  4. Step 4: Simplify right side
    1,204.62x = 692,013.02
  5. Step 5: Solve for x
    x = 692,013.02/1,204.62
  6. Step 6: Final answer
    x = 574.47

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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.