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Finding the Fourth Proportional to 666.84, 998.10 and 460.56

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Solution

The fourth proportional to 666.84, 998.10 and 460.56 is: 689.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.84 : 998.10 = 460.56 : x
  2. Step 2: Convert to fraction form
    666.84/998.10 = 460.56/x
  3. Step 3: Cross multiply
    666.84x = 998.10 × 460.56
  4. Step 4: Simplify right side
    666.84x = 459,684.94
  5. Step 5: Solve for x
    x = 459,684.94/666.84
  6. Step 6: Final answer
    x = 689.35

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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.