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Finding the Fourth Proportional to 1,176.53, 1,764.38 and 830.66

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Solution

The fourth proportional to 1,176.53, 1,764.38 and 830.66 is: 1,245.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.53 : 1,764.38 = 830.66 : x
  2. Step 2: Convert to fraction form
    1,176.53/1,764.38 = 830.66/x
  3. Step 3: Cross multiply
    1,176.53x = 1,764.38 × 830.66
  4. Step 4: Simplify right side
    1,176.53x = 1,465,593.15
  5. Step 5: Solve for x
    x = 1,465,593.15/1,176.53
  6. Step 6: Final answer
    x = 1,245.70

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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.