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Finding the Fourth Proportional to 1,199.12, 1,653.12 and 965.84

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Solution

The fourth proportional to 1,199.12, 1,653.12 and 965.84 is: 1,331.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.12 : 1,653.12 = 965.84 : x
  2. Step 2: Convert to fraction form
    1,199.12/1,653.12 = 965.84/x
  3. Step 3: Cross multiply
    1,199.12x = 1,653.12 × 965.84
  4. Step 4: Simplify right side
    1,199.12x = 1,596,649.42
  5. Step 5: Solve for x
    x = 1,596,649.42/1,199.12
  6. Step 6: Final answer
    x = 1,331.52

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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.