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Finding the Fourth Proportional to 1,184.86, 1,776.30 and 820.36

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Solution

The fourth proportional to 1,184.86, 1,776.30 and 820.36 is: 1,229.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.86 : 1,776.30 = 820.36 : x
  2. Step 2: Convert to fraction form
    1,184.86/1,776.30 = 820.36/x
  3. Step 3: Cross multiply
    1,184.86x = 1,776.30 × 820.36
  4. Step 4: Simplify right side
    1,184.86x = 1,457,205.47
  5. Step 5: Solve for x
    x = 1,457,205.47/1,184.86
  6. Step 6: Final answer
    x = 1,229.85

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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.