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Finding the Fourth Proportional to 743.19, 1,025.53 and 411.63

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Solution

The fourth proportional to 743.19, 1,025.53 and 411.63 is: 568.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.19 : 1,025.53 = 411.63 : x
  2. Step 2: Convert to fraction form
    743.19/1,025.53 = 411.63/x
  3. Step 3: Cross multiply
    743.19x = 1,025.53 × 411.63
  4. Step 4: Simplify right side
    743.19x = 422,138.91
  5. Step 5: Solve for x
    x = 422,138.91/743.19
  6. Step 6: Final answer
    x = 568.01

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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.