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Finding the Fourth Proportional to 971.18, 1,464.09 and 908.54

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Solution

The fourth proportional to 971.18, 1,464.09 and 908.54 is: 1,369.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.18 : 1,464.09 = 908.54 : x
  2. Step 2: Convert to fraction form
    971.18/1,464.09 = 908.54/x
  3. Step 3: Cross multiply
    971.18x = 1,464.09 × 908.54
  4. Step 4: Simplify right side
    971.18x = 1,330,184.33
  5. Step 5: Solve for x
    x = 1,330,184.33/971.18
  6. Step 6: Final answer
    x = 1,369.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.