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Finding the Fourth Proportional to 1,108.64, 1,662.84 and 459.20

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Solution

The fourth proportional to 1,108.64, 1,662.84 and 459.20 is: 688.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.64 : 1,662.84 = 459.20 : x
  2. Step 2: Convert to fraction form
    1,108.64/1,662.84 = 459.20/x
  3. Step 3: Cross multiply
    1,108.64x = 1,662.84 × 459.20
  4. Step 4: Simplify right side
    1,108.64x = 763,576.13
  5. Step 5: Solve for x
    x = 763,576.13/1,108.64
  6. Step 6: Final answer
    x = 688.75

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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.