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Finding the Fourth Proportional to 1,157.20, 1,596.94 and 633.23

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Solution

The fourth proportional to 1,157.20, 1,596.94 and 633.23 is: 873.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.20 : 1,596.94 = 633.23 : x
  2. Step 2: Convert to fraction form
    1,157.20/1,596.94 = 633.23/x
  3. Step 3: Cross multiply
    1,157.20x = 1,596.94 × 633.23
  4. Step 4: Simplify right side
    1,157.20x = 1,011,237.50
  5. Step 5: Solve for x
    x = 1,011,237.50/1,157.20
  6. Step 6: Final answer
    x = 873.86

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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.