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Finding the Fourth Proportional to 1,207.78, 1,804.17 and 897.96

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Solution

The fourth proportional to 1,207.78, 1,804.17 and 897.96 is: 1,341.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.78 : 1,804.17 = 897.96 : x
  2. Step 2: Convert to fraction form
    1,207.78/1,804.17 = 897.96/x
  3. Step 3: Cross multiply
    1,207.78x = 1,804.17 × 897.96
  4. Step 4: Simplify right side
    1,207.78x = 1,620,072.49
  5. Step 5: Solve for x
    x = 1,620,072.49/1,207.78
  6. Step 6: Final answer
    x = 1,341.36

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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.