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Finding the Fourth Proportional to 707.96, 1,062.12 and 382.88

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Solution

The fourth proportional to 707.96, 1,062.12 and 382.88 is: 574.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.96 : 1,062.12 = 382.88 : x
  2. Step 2: Convert to fraction form
    707.96/1,062.12 = 382.88/x
  3. Step 3: Cross multiply
    707.96x = 1,062.12 × 382.88
  4. Step 4: Simplify right side
    707.96x = 406,664.51
  5. Step 5: Solve for x
    x = 406,664.51/707.96
  6. Step 6: Final answer
    x = 574.42

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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.