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Finding the Fourth Proportional to 979.86, 1,352.25 and 586.88

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Solution

The fourth proportional to 979.86, 1,352.25 and 586.88 is: 809.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.86 : 1,352.25 = 586.88 : x
  2. Step 2: Convert to fraction form
    979.86/1,352.25 = 586.88/x
  3. Step 3: Cross multiply
    979.86x = 1,352.25 × 586.88
  4. Step 4: Simplify right side
    979.86x = 793,601.72
  5. Step 5: Solve for x
    x = 793,601.72/979.86
  6. Step 6: Final answer
    x = 809.91

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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.