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Finding the Fourth Proportional to 1,282.84, 1,771.61 and 967.58

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Solution

The fourth proportional to 1,282.84, 1,771.61 and 967.58 is: 1,336.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.84 : 1,771.61 = 967.58 : x
  2. Step 2: Convert to fraction form
    1,282.84/1,771.61 = 967.58/x
  3. Step 3: Cross multiply
    1,282.84x = 1,771.61 × 967.58
  4. Step 4: Simplify right side
    1,282.84x = 1,714,167.35
  5. Step 5: Solve for x
    x = 1,714,167.35/1,282.84
  6. Step 6: Final answer
    x = 1,336.23

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Why These Related Problems?

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