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Finding the Fourth Proportional to 979.74, 1,352.43 and 586.69

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Solution

The fourth proportional to 979.74, 1,352.43 and 586.69 is: 809.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.74 : 1,352.43 = 586.69 : x
  2. Step 2: Convert to fraction form
    979.74/1,352.43 = 586.69/x
  3. Step 3: Cross multiply
    979.74x = 1,352.43 × 586.69
  4. Step 4: Simplify right side
    979.74x = 793,453.78
  5. Step 5: Solve for x
    x = 793,453.78/979.74
  6. Step 6: Final answer
    x = 809.86

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Double scale
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1.5x scale

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.