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Finding the Fourth Proportional to 1,108.85, 1,663.47 and 459.63

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Solution

The fourth proportional to 1,108.85, 1,663.47 and 459.63 is: 689.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.85 : 1,663.47 = 459.63 : x
  2. Step 2: Convert to fraction form
    1,108.85/1,663.47 = 459.63/x
  3. Step 3: Cross multiply
    1,108.85x = 1,663.47 × 459.63
  4. Step 4: Simplify right side
    1,108.85x = 764,580.72
  5. Step 5: Solve for x
    x = 764,580.72/1,108.85
  6. Step 6: Final answer
    x = 689.53

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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.