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Finding the Fourth Proportional to 1,196.04, 1,794.08 and 330.32

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Solution

The fourth proportional to 1,196.04, 1,794.08 and 330.32 is: 495.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.04 : 1,794.08 = 330.32 : x
  2. Step 2: Convert to fraction form
    1,196.04/1,794.08 = 330.32/x
  3. Step 3: Cross multiply
    1,196.04x = 1,794.08 × 330.32
  4. Step 4: Simplify right side
    1,196.04x = 592,620.51
  5. Step 5: Solve for x
    x = 592,620.51/1,196.04
  6. Step 6: Final answer
    x = 495.49

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.