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Finding the Fourth Proportional to 1,172.07, 1,617.45 and 648.09

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Solution

The fourth proportional to 1,172.07, 1,617.45 and 648.09 is: 894.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.07 : 1,617.45 = 648.09 : x
  2. Step 2: Convert to fraction form
    1,172.07/1,617.45 = 648.09/x
  3. Step 3: Cross multiply
    1,172.07x = 1,617.45 × 648.09
  4. Step 4: Simplify right side
    1,172.07x = 1,048,253.17
  5. Step 5: Solve for x
    x = 1,048,253.17/1,172.07
  6. Step 6: Final answer
    x = 894.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.