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Finding the Fourth Proportional to 1,180.40, 1,770.59 and 562.23

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Solution

The fourth proportional to 1,180.40, 1,770.59 and 562.23 is: 843.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.40 : 1,770.59 = 562.23 : x
  2. Step 2: Convert to fraction form
    1,180.40/1,770.59 = 562.23/x
  3. Step 3: Cross multiply
    1,180.40x = 1,770.59 × 562.23
  4. Step 4: Simplify right side
    1,180.40x = 995,475.39
  5. Step 5: Solve for x
    x = 995,475.39/1,180.40
  6. Step 6: Final answer
    x = 843.34

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