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Finding the Fourth Proportional to 1,204.48, 1,798.04 and 1,114.30

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Solution

The fourth proportional to 1,204.48, 1,798.04 and 1,114.30 is: 1,663.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.48 : 1,798.04 = 1,114.30 : x
  2. Step 2: Convert to fraction form
    1,204.48/1,798.04 = 1,114.30/x
  3. Step 3: Cross multiply
    1,204.48x = 1,798.04 × 1,114.30
  4. Step 4: Simplify right side
    1,204.48x = 2,003,555.97
  5. Step 5: Solve for x
    x = 2,003,555.97/1,204.48
  6. Step 6: Final answer
    x = 1,663.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.