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Finding the Fourth Proportional to 666.66, 1,001.84 and 342.26

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Solution

The fourth proportional to 666.66, 1,001.84 and 342.26 is: 514.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.66 : 1,001.84 = 342.26 : x
  2. Step 2: Convert to fraction form
    666.66/1,001.84 = 342.26/x
  3. Step 3: Cross multiply
    666.66x = 1,001.84 × 342.26
  4. Step 4: Simplify right side
    666.66x = 342,883.04
  5. Step 5: Solve for x
    x = 342,883.04/666.66
  6. Step 6: Final answer
    x = 514.33

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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.