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Finding the Fourth Proportional to 1,193.16, 1,646.44 and 669.24

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Solution

The fourth proportional to 1,193.16, 1,646.44 and 669.24 is: 923.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.16 : 1,646.44 = 669.24 : x
  2. Step 2: Convert to fraction form
    1,193.16/1,646.44 = 669.24/x
  3. Step 3: Cross multiply
    1,193.16x = 1,646.44 × 669.24
  4. Step 4: Simplify right side
    1,193.16x = 1,101,863.51
  5. Step 5: Solve for x
    x = 1,101,863.51/1,193.16
  6. Step 6: Final answer
    x = 923.48

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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.