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Finding the Fourth Proportional to 684.38, 945.42 and 544.03

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Solution

The fourth proportional to 684.38, 945.42 and 544.03 is: 751.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.38 : 945.42 = 544.03 : x
  2. Step 2: Convert to fraction form
    684.38/945.42 = 544.03/x
  3. Step 3: Cross multiply
    684.38x = 945.42 × 544.03
  4. Step 4: Simplify right side
    684.38x = 514,336.84
  5. Step 5: Solve for x
    x = 514,336.84/684.38
  6. Step 6: Final answer
    x = 751.54

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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.