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Finding the Fourth Proportional to 1,180.29, 1,770.17 and 716.40

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Solution

The fourth proportional to 1,180.29, 1,770.17 and 716.40 is: 1,074.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.29 : 1,770.17 = 716.40 : x
  2. Step 2: Convert to fraction form
    1,180.29/1,770.17 = 716.40/x
  3. Step 3: Cross multiply
    1,180.29x = 1,770.17 × 716.40
  4. Step 4: Simplify right side
    1,180.29x = 1,268,155.21
  5. Step 5: Solve for x
    x = 1,268,155.21/1,180.29
  6. Step 6: Final answer
    x = 1,074.45

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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.