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Finding the Fourth Proportional to 707.93, 1,059.77 and 382.31

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Solution

The fourth proportional to 707.93, 1,059.77 and 382.31 is: 572.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.93 : 1,059.77 = 382.31 : x
  2. Step 2: Convert to fraction form
    707.93/1,059.77 = 382.31/x
  3. Step 3: Cross multiply
    707.93x = 1,059.77 × 382.31
  4. Step 4: Simplify right side
    707.93x = 405,164.27
  5. Step 5: Solve for x
    x = 405,164.27/707.93
  6. Step 6: Final answer
    x = 572.32

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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.