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Finding the Fourth Proportional to 711.40, 979.68 and 580.72

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Solution

The fourth proportional to 711.40, 979.68 and 580.72 is: 799.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.40 : 979.68 = 580.72 : x
  2. Step 2: Convert to fraction form
    711.40/979.68 = 580.72/x
  3. Step 3: Cross multiply
    711.40x = 979.68 × 580.72
  4. Step 4: Simplify right side
    711.40x = 568,919.77
  5. Step 5: Solve for x
    x = 568,919.77/711.40
  6. Step 6: Final answer
    x = 799.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.