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Finding the Fourth Proportional to 846.55, 1,159.79 and 813.75

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Solution

The fourth proportional to 846.55, 1,159.79 and 813.75 is: 1,114.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.55 : 1,159.79 = 813.75 : x
  2. Step 2: Convert to fraction form
    846.55/1,159.79 = 813.75/x
  3. Step 3: Cross multiply
    846.55x = 1,159.79 × 813.75
  4. Step 4: Simplify right side
    846.55x = 943,777.56
  5. Step 5: Solve for x
    x = 943,777.56/846.55
  6. Step 6: Final answer
    x = 1,114.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.