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Finding the Fourth Proportional to 1,180.60, 1,770.90 and 564.10

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Solution

The fourth proportional to 1,180.60, 1,770.90 and 564.10 is: 846.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.60 : 1,770.90 = 564.10 : x
  2. Step 2: Convert to fraction form
    1,180.60/1,770.90 = 564.10/x
  3. Step 3: Cross multiply
    1,180.60x = 1,770.90 × 564.10
  4. Step 4: Simplify right side
    1,180.60x = 998,964.69
  5. Step 5: Solve for x
    x = 998,964.69/1,180.60
  6. Step 6: Final answer
    x = 846.15

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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.