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Finding the Fourth Proportional to 1,180.26, 1,770.76 and 712.24

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Solution

The fourth proportional to 1,180.26, 1,770.76 and 712.24 is: 1,068.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.26 : 1,770.76 = 712.24 : x
  2. Step 2: Convert to fraction form
    1,180.26/1,770.76 = 712.24/x
  3. Step 3: Cross multiply
    1,180.26x = 1,770.76 × 712.24
  4. Step 4: Simplify right side
    1,180.26x = 1,261,206.10
  5. Step 5: Solve for x
    x = 1,261,206.10/1,180.26
  6. Step 6: Final answer
    x = 1,068.58

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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.