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Finding the Fourth Proportional to 967.03, 1,442.95 and 908.27

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Solution

The fourth proportional to 967.03, 1,442.95 and 908.27 is: 1,355.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.03 : 1,442.95 = 908.27 : x
  2. Step 2: Convert to fraction form
    967.03/1,442.95 = 908.27/x
  3. Step 3: Cross multiply
    967.03x = 1,442.95 × 908.27
  4. Step 4: Simplify right side
    967.03x = 1,310,588.20
  5. Step 5: Solve for x
    x = 1,310,588.20/967.03
  6. Step 6: Final answer
    x = 1,355.27

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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.