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Finding the Fourth Proportional to 707.69, 1,059.66 and 382.07

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Solution

The fourth proportional to 707.69, 1,059.66 and 382.07 is: 572.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.69 : 1,059.66 = 382.07 : x
  2. Step 2: Convert to fraction form
    707.69/1,059.66 = 382.07/x
  3. Step 3: Cross multiply
    707.69x = 1,059.66 × 382.07
  4. Step 4: Simplify right side
    707.69x = 404,864.30
  5. Step 5: Solve for x
    x = 404,864.30/707.69
  6. Step 6: Final answer
    x = 572.09

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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.