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Finding the Fourth Proportional to 712.06, 1,066.26 and 589.96

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Solution

The fourth proportional to 712.06, 1,066.26 and 589.96 is: 883.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.06 : 1,066.26 = 589.96 : x
  2. Step 2: Convert to fraction form
    712.06/1,066.26 = 589.96/x
  3. Step 3: Cross multiply
    712.06x = 1,066.26 × 589.96
  4. Step 4: Simplify right side
    712.06x = 629,050.75
  5. Step 5: Solve for x
    x = 629,050.75/712.06
  6. Step 6: Final answer
    x = 883.42

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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.