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Finding the Fourth Proportional to 1,157.09, 1,596.78 and 633.15

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Solution

The fourth proportional to 1,157.09, 1,596.78 and 633.15 is: 873.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.09 : 1,596.78 = 633.15 : x
  2. Step 2: Convert to fraction form
    1,157.09/1,596.78 = 633.15/x
  3. Step 3: Cross multiply
    1,157.09x = 1,596.78 × 633.15
  4. Step 4: Simplify right side
    1,157.09x = 1,011,001.26
  5. Step 5: Solve for x
    x = 1,011,001.26/1,157.09
  6. Step 6: Final answer
    x = 873.75

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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.