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Finding the Fourth Proportional to 1,179.74, 1,770.75 and 563.87

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Solution

The fourth proportional to 1,179.74, 1,770.75 and 563.87 is: 846.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.74 : 1,770.75 = 563.87 : x
  2. Step 2: Convert to fraction form
    1,179.74/1,770.75 = 563.87/x
  3. Step 3: Cross multiply
    1,179.74x = 1,770.75 × 563.87
  4. Step 4: Simplify right side
    1,179.74x = 998,463.95
  5. Step 5: Solve for x
    x = 998,463.95/1,179.74
  6. Step 6: Final answer
    x = 846.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.