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Finding the Fourth Proportional to 707.60, 1,060.67 and 382.28

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Solution

The fourth proportional to 707.60, 1,060.67 and 382.28 is: 573.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.60 : 1,060.67 = 382.28 : x
  2. Step 2: Convert to fraction form
    707.60/1,060.67 = 382.28/x
  3. Step 3: Cross multiply
    707.60x = 1,060.67 × 382.28
  4. Step 4: Simplify right side
    707.60x = 405,472.93
  5. Step 5: Solve for x
    x = 405,472.93/707.60
  6. Step 6: Final answer
    x = 573.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.