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Finding the Fourth Proportional to 1,193.26, 1,644.96 and 838.07

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Solution

The fourth proportional to 1,193.26, 1,644.96 and 838.07 is: 1,155.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.26 : 1,644.96 = 838.07 : x
  2. Step 2: Convert to fraction form
    1,193.26/1,644.96 = 838.07/x
  3. Step 3: Cross multiply
    1,193.26x = 1,644.96 × 838.07
  4. Step 4: Simplify right side
    1,193.26x = 1,378,591.63
  5. Step 5: Solve for x
    x = 1,378,591.63/1,193.26
  6. Step 6: Final answer
    x = 1,155.32

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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.