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Finding the Fourth Proportional to 1,594.58, 2,200.56 and 964.97

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Solution

The fourth proportional to 1,594.58, 2,200.56 and 964.97 is: 1,331.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.58 : 2,200.56 = 964.97 : x
  2. Step 2: Convert to fraction form
    1,594.58/2,200.56 = 964.97/x
  3. Step 3: Cross multiply
    1,594.58x = 2,200.56 × 964.97
  4. Step 4: Simplify right side
    1,594.58x = 2,123,468.01
  5. Step 5: Solve for x
    x = 2,123,468.01/1,594.58
  6. Step 6: Final answer
    x = 1,331.68

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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.