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Finding the Fourth Proportional to 1,157.79, 1,596.18 and 862.56

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Solution

The fourth proportional to 1,157.79, 1,596.18 and 862.56 is: 1,189.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.79 : 1,596.18 = 862.56 : x
  2. Step 2: Convert to fraction form
    1,157.79/1,596.18 = 862.56/x
  3. Step 3: Cross multiply
    1,157.79x = 1,596.18 × 862.56
  4. Step 4: Simplify right side
    1,157.79x = 1,376,801.02
  5. Step 5: Solve for x
    x = 1,376,801.02/1,157.79
  6. Step 6: Final answer
    x = 1,189.16

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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.