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Finding the Fourth Proportional to 1,033.12, 1,419.88 and 967.84

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Solution

The fourth proportional to 1,033.12, 1,419.88 and 967.84 is: 1,330.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.12 : 1,419.88 = 967.84 : x
  2. Step 2: Convert to fraction form
    1,033.12/1,419.88 = 967.84/x
  3. Step 3: Cross multiply
    1,033.12x = 1,419.88 × 967.84
  4. Step 4: Simplify right side
    1,033.12x = 1,374,216.66
  5. Step 5: Solve for x
    x = 1,374,216.66/1,033.12
  6. Step 6: Final answer
    x = 1,330.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.