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Finding the Fourth Proportional to 1,176.74, 1,765.12 and 811.43

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Solution

The fourth proportional to 1,176.74, 1,765.12 and 811.43 is: 1,217.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.74 : 1,765.12 = 811.43 : x
  2. Step 2: Convert to fraction form
    1,176.74/1,765.12 = 811.43/x
  3. Step 3: Cross multiply
    1,176.74x = 1,765.12 × 811.43
  4. Step 4: Simplify right side
    1,176.74x = 1,432,271.32
  5. Step 5: Solve for x
    x = 1,432,271.32/1,176.74
  6. Step 6: Final answer
    x = 1,217.15

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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.