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Finding the Fourth Proportional to 673.96, 930.09 and 584.76

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Solution

The fourth proportional to 673.96, 930.09 and 584.76 is: 806.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.96 : 930.09 = 584.76 : x
  2. Step 2: Convert to fraction form
    673.96/930.09 = 584.76/x
  3. Step 3: Cross multiply
    673.96x = 930.09 × 584.76
  4. Step 4: Simplify right side
    673.96x = 543,879.43
  5. Step 5: Solve for x
    x = 543,879.43/673.96
  6. Step 6: Final answer
    x = 806.99

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Half scale
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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.