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Finding the Fourth Proportional to 1,594.59, 2,200.56 and 965.11

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Solution

The fourth proportional to 1,594.59, 2,200.56 and 965.11 is: 1,331.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.59 : 2,200.56 = 965.11 : x
  2. Step 2: Convert to fraction form
    1,594.59/2,200.56 = 965.11/x
  3. Step 3: Cross multiply
    1,594.59x = 2,200.56 × 965.11
  4. Step 4: Simplify right side
    1,594.59x = 2,123,777.64
  5. Step 5: Solve for x
    x = 2,123,777.64/1,594.59
  6. Step 6: Final answer
    x = 1,331.86

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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.