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Finding the Fourth Proportional to 1,180.12, 1,770.40 and 632.91

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Solution

The fourth proportional to 1,180.12, 1,770.40 and 632.91 is: 949.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.12 : 1,770.40 = 632.91 : x
  2. Step 2: Convert to fraction form
    1,180.12/1,770.40 = 632.91/x
  3. Step 3: Cross multiply
    1,180.12x = 1,770.40 × 632.91
  4. Step 4: Simplify right side
    1,180.12x = 1,120,503.86
  5. Step 5: Solve for x
    x = 1,120,503.86/1,180.12
  6. Step 6: Final answer
    x = 949.49

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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.