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Finding the Fourth Proportional to 967.86, 1,440.14 and 964.62

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Solution

The fourth proportional to 967.86, 1,440.14 and 964.62 is: 1,435.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.86 : 1,440.14 = 964.62 : x
  2. Step 2: Convert to fraction form
    967.86/1,440.14 = 964.62/x
  3. Step 3: Cross multiply
    967.86x = 1,440.14 × 964.62
  4. Step 4: Simplify right side
    967.86x = 1,389,187.85
  5. Step 5: Solve for x
    x = 1,389,187.85/967.86
  6. Step 6: Final answer
    x = 1,435.32

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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.