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Finding the Fourth Proportional to 1,108.38, 1,660.95 and 459.57

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Solution

The fourth proportional to 1,108.38, 1,660.95 and 459.57 is: 688.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.38 : 1,660.95 = 459.57 : x
  2. Step 2: Convert to fraction form
    1,108.38/1,660.95 = 459.57/x
  3. Step 3: Cross multiply
    1,108.38x = 1,660.95 × 459.57
  4. Step 4: Simplify right side
    1,108.38x = 763,322.79
  5. Step 5: Solve for x
    x = 763,322.79/1,108.38
  6. Step 6: Final answer
    x = 688.68

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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.