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Finding the Fourth Proportional to 666.99, 919.62 and 588.69

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Solution

The fourth proportional to 666.99, 919.62 and 588.69 is: 811.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.99 : 919.62 = 588.69 : x
  2. Step 2: Convert to fraction form
    666.99/919.62 = 588.69/x
  3. Step 3: Cross multiply
    666.99x = 919.62 × 588.69
  4. Step 4: Simplify right side
    666.99x = 541,371.10
  5. Step 5: Solve for x
    x = 541,371.10/666.99
  6. Step 6: Final answer
    x = 811.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.