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Finding the Fourth Proportional to 743.85, 1,025.89 and 478.34

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Solution

The fourth proportional to 743.85, 1,025.89 and 478.34 is: 659.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.85 : 1,025.89 = 478.34 : x
  2. Step 2: Convert to fraction form
    743.85/1,025.89 = 478.34/x
  3. Step 3: Cross multiply
    743.85x = 1,025.89 × 478.34
  4. Step 4: Simplify right side
    743.85x = 490,724.22
  5. Step 5: Solve for x
    x = 490,724.22/743.85
  6. Step 6: Final answer
    x = 659.71

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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.