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Finding the Fourth Proportional to 979.76, 1,352.01 and 586.70

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Solution

The fourth proportional to 979.76, 1,352.01 and 586.70 is: 809.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.76 : 1,352.01 = 586.70 : x
  2. Step 2: Convert to fraction form
    979.76/1,352.01 = 586.70/x
  3. Step 3: Cross multiply
    979.76x = 1,352.01 × 586.70
  4. Step 4: Simplify right side
    979.76x = 793,217.51
  5. Step 5: Solve for x
    x = 793,217.51/979.76
  6. Step 6: Final answer
    x = 809.61

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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.