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Finding the Fourth Proportional to 1,184.40, 1,776.56 and 414.88

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Solution

The fourth proportional to 1,184.40, 1,776.56 and 414.88 is: 622.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.40 : 1,776.56 = 414.88 : x
  2. Step 2: Convert to fraction form
    1,184.40/1,776.56 = 414.88/x
  3. Step 3: Cross multiply
    1,184.40x = 1,776.56 × 414.88
  4. Step 4: Simplify right side
    1,184.40x = 737,059.21
  5. Step 5: Solve for x
    x = 737,059.21/1,184.40
  6. Step 6: Final answer
    x = 622.31

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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.