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Finding the Fourth Proportional to 967.84, 1,336.98 and 880.36

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Solution

The fourth proportional to 967.84, 1,336.98 and 880.36 is: 1,216.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.84 : 1,336.98 = 880.36 : x
  2. Step 2: Convert to fraction form
    967.84/1,336.98 = 880.36/x
  3. Step 3: Cross multiply
    967.84x = 1,336.98 × 880.36
  4. Step 4: Simplify right side
    967.84x = 1,177,023.71
  5. Step 5: Solve for x
    x = 1,177,023.71/967.84
  6. Step 6: Final answer
    x = 1,216.13

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