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Finding the Fourth Proportional to 707.61, 1,060.68 and 382.29

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Solution

The fourth proportional to 707.61, 1,060.68 and 382.29 is: 573.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.61 : 1,060.68 = 382.29 : x
  2. Step 2: Convert to fraction form
    707.61/1,060.68 = 382.29/x
  3. Step 3: Cross multiply
    707.61x = 1,060.68 × 382.29
  4. Step 4: Simplify right side
    707.61x = 405,487.36
  5. Step 5: Solve for x
    x = 405,487.36/707.61
  6. Step 6: Final answer
    x = 573.04

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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.