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Finding the Fourth Proportional to 667.10, 1,001.10 and 374.60

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Solution

The fourth proportional to 667.10, 1,001.10 and 374.60 is: 562.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.10 : 1,001.10 = 374.60 : x
  2. Step 2: Convert to fraction form
    667.10/1,001.10 = 374.60/x
  3. Step 3: Cross multiply
    667.10x = 1,001.10 × 374.60
  4. Step 4: Simplify right side
    667.10x = 375,012.06
  5. Step 5: Solve for x
    x = 375,012.06/667.10
  6. Step 6: Final answer
    x = 562.15

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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.