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Finding the Fourth Proportional to 666.58, 998.93 and 491.87

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Solution

The fourth proportional to 666.58, 998.93 and 491.87 is: 737.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.58 : 998.93 = 491.87 : x
  2. Step 2: Convert to fraction form
    666.58/998.93 = 491.87/x
  3. Step 3: Cross multiply
    666.58x = 998.93 × 491.87
  4. Step 4: Simplify right side
    666.58x = 491,347.43
  5. Step 5: Solve for x
    x = 491,347.43/666.58
  6. Step 6: Final answer
    x = 737.12

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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.