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Finding the Fourth Proportional to 979.86, 1,352.16 and 586.64

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Solution

The fourth proportional to 979.86, 1,352.16 and 586.64 is: 809.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.86 : 1,352.16 = 586.64 : x
  2. Step 2: Convert to fraction form
    979.86/1,352.16 = 586.64/x
  3. Step 3: Cross multiply
    979.86x = 1,352.16 × 586.64
  4. Step 4: Simplify right side
    979.86x = 793,231.14
  5. Step 5: Solve for x
    x = 793,231.14/979.86
  6. Step 6: Final answer
    x = 809.54

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Why These Related Problems?

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