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Finding the Fourth Proportional to 1,204.64, 1,807.20 and 684.89

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Solution

The fourth proportional to 1,204.64, 1,807.20 and 684.89 is: 1,027.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.64 : 1,807.20 = 684.89 : x
  2. Step 2: Convert to fraction form
    1,204.64/1,807.20 = 684.89/x
  3. Step 3: Cross multiply
    1,204.64x = 1,807.20 × 684.89
  4. Step 4: Simplify right side
    1,204.64x = 1,237,730.95
  5. Step 5: Solve for x
    x = 1,237,730.95/1,204.64
  6. Step 6: Final answer
    x = 1,027.47

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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.