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Finding the Fourth Proportional to 1,164.38, 1,746.41 and 433.85

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Solution

The fourth proportional to 1,164.38, 1,746.41 and 433.85 is: 650.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.38 : 1,746.41 = 433.85 : x
  2. Step 2: Convert to fraction form
    1,164.38/1,746.41 = 433.85/x
  3. Step 3: Cross multiply
    1,164.38x = 1,746.41 × 433.85
  4. Step 4: Simplify right side
    1,164.38x = 757,669.08
  5. Step 5: Solve for x
    x = 757,669.08/1,164.38
  6. Step 6: Final answer
    x = 650.71

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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.