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Finding the Fourth Proportional to 1,184.28, 1,776.78 and 696.30

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Solution

The fourth proportional to 1,184.28, 1,776.78 and 696.30 is: 1,044.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.28 : 1,776.78 = 696.30 : x
  2. Step 2: Convert to fraction form
    1,184.28/1,776.78 = 696.30/x
  3. Step 3: Cross multiply
    1,184.28x = 1,776.78 × 696.30
  4. Step 4: Simplify right side
    1,184.28x = 1,237,171.91
  5. Step 5: Solve for x
    x = 1,237,171.91/1,184.28
  6. Step 6: Final answer
    x = 1,044.66

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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.