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Finding the Fourth Proportional to 1,224.23, 1,689.43 and 664.69

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Solution

The fourth proportional to 1,224.23, 1,689.43 and 664.69 is: 917.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.23 : 1,689.43 = 664.69 : x
  2. Step 2: Convert to fraction form
    1,224.23/1,689.43 = 664.69/x
  3. Step 3: Cross multiply
    1,224.23x = 1,689.43 × 664.69
  4. Step 4: Simplify right side
    1,224.23x = 1,122,947.23
  5. Step 5: Solve for x
    x = 1,122,947.23/1,224.23
  6. Step 6: Final answer
    x = 917.27

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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.