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Finding the Fourth Proportional to 666.97, 1,000.57 and 296.91

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Solution

The fourth proportional to 666.97, 1,000.57 and 296.91 is: 445.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.97 : 1,000.57 = 296.91 : x
  2. Step 2: Convert to fraction form
    666.97/1,000.57 = 296.91/x
  3. Step 3: Cross multiply
    666.97x = 1,000.57 × 296.91
  4. Step 4: Simplify right side
    666.97x = 297,082.48
  5. Step 5: Solve for x
    x = 297,082.48/666.97
  6. Step 6: Final answer
    x = 445.42

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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.