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Finding the Fourth Proportional to 666.09, 998.64 and 460.07

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Solution

The fourth proportional to 666.09, 998.64 and 460.07 is: 689.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.09 : 998.64 = 460.07 : x
  2. Step 2: Convert to fraction form
    666.09/998.64 = 460.07/x
  3. Step 3: Cross multiply
    666.09x = 998.64 × 460.07
  4. Step 4: Simplify right side
    666.09x = 459,446.80
  5. Step 5: Solve for x
    x = 459,446.80/666.09
  6. Step 6: Final answer
    x = 689.77

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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.