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Finding the Fourth Proportional to 1,193.09, 1,646.41 and 669.11

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Solution

The fourth proportional to 1,193.09, 1,646.41 and 669.11 is: 923.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.09 : 1,646.41 = 669.11 : x
  2. Step 2: Convert to fraction form
    1,193.09/1,646.41 = 669.11/x
  3. Step 3: Cross multiply
    1,193.09x = 1,646.41 × 669.11
  4. Step 4: Simplify right side
    1,193.09x = 1,101,629.40
  5. Step 5: Solve for x
    x = 1,101,629.40/1,193.09
  6. Step 6: Final answer
    x = 923.34

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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.