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Finding the Fourth Proportional to 1,184.43, 1,776.29 and 414.75

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Solution

The fourth proportional to 1,184.43, 1,776.29 and 414.75 is: 622.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.43 : 1,776.29 = 414.75 : x
  2. Step 2: Convert to fraction form
    1,184.43/1,776.29 = 414.75/x
  3. Step 3: Cross multiply
    1,184.43x = 1,776.29 × 414.75
  4. Step 4: Simplify right side
    1,184.43x = 736,714.20
  5. Step 5: Solve for x
    x = 736,714.20/1,184.43
  6. Step 6: Final answer
    x = 622.00

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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.