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Finding the Fourth Proportional to 1,108.80, 1,663.68 and 459.68

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Solution

The fourth proportional to 1,108.80, 1,663.68 and 459.68 is: 689.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.80 : 1,663.68 = 459.68 : x
  2. Step 2: Convert to fraction form
    1,108.80/1,663.68 = 459.68/x
  3. Step 3: Cross multiply
    1,108.80x = 1,663.68 × 459.68
  4. Step 4: Simplify right side
    1,108.80x = 764,760.42
  5. Step 5: Solve for x
    x = 764,760.42/1,108.80
  6. Step 6: Final answer
    x = 689.72

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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.