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Finding the Fourth Proportional to 711.98, 1,069.89 and 671.88

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Solution

The fourth proportional to 711.98, 1,069.89 and 671.88 is: 1,009.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.98 : 1,069.89 = 671.88 : x
  2. Step 2: Convert to fraction form
    711.98/1,069.89 = 671.88/x
  3. Step 3: Cross multiply
    711.98x = 1,069.89 × 671.88
  4. Step 4: Simplify right side
    711.98x = 718,837.69
  5. Step 5: Solve for x
    x = 718,837.69/711.98
  6. Step 6: Final answer
    x = 1,009.63

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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.