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Finding the Fourth Proportional to 1,204.01, 1,802.57 and 897.29

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Solution

The fourth proportional to 1,204.01, 1,802.57 and 897.29 is: 1,343.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.01 : 1,802.57 = 897.29 : x
  2. Step 2: Convert to fraction form
    1,204.01/1,802.57 = 897.29/x
  3. Step 3: Cross multiply
    1,204.01x = 1,802.57 × 897.29
  4. Step 4: Simplify right side
    1,204.01x = 1,617,414.54
  5. Step 5: Solve for x
    x = 1,617,414.54/1,204.01
  6. Step 6: Final answer
    x = 1,343.36

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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.