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Finding the Fourth Proportional to 1,108.17, 1,662.10 and 414.74

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Solution

The fourth proportional to 1,108.17, 1,662.10 and 414.74 is: 622.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.17 : 1,662.10 = 414.74 : x
  2. Step 2: Convert to fraction form
    1,108.17/1,662.10 = 414.74/x
  3. Step 3: Cross multiply
    1,108.17x = 1,662.10 × 414.74
  4. Step 4: Simplify right side
    1,108.17x = 689,342.47
  5. Step 5: Solve for x
    x = 689,342.47/1,108.17
  6. Step 6: Final answer
    x = 622.05

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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.