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Finding the Fourth Proportional to 918.25, 1,377.38 and 872.11

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Solution

The fourth proportional to 918.25, 1,377.38 and 872.11 is: 1,308.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.25 : 1,377.38 = 872.11 : x
  2. Step 2: Convert to fraction form
    918.25/1,377.38 = 872.11/x
  3. Step 3: Cross multiply
    918.25x = 1,377.38 × 872.11
  4. Step 4: Simplify right side
    918.25x = 1,201,222.51
  5. Step 5: Solve for x
    x = 1,201,222.51/918.25
  6. Step 6: Final answer
    x = 1,308.17

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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.