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Finding the Fourth Proportional to 743.38, 1,025.88 and 411.82

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Solution

The fourth proportional to 743.38, 1,025.88 and 411.82 is: 568.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.38 : 1,025.88 = 411.82 : x
  2. Step 2: Convert to fraction form
    743.38/1,025.88 = 411.82/x
  3. Step 3: Cross multiply
    743.38x = 1,025.88 × 411.82
  4. Step 4: Simplify right side
    743.38x = 422,477.90
  5. Step 5: Solve for x
    x = 422,477.90/743.38
  6. Step 6: Final answer
    x = 568.32

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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.