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Finding the Fourth Proportional to 703.69, 971.12 and 393.19

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Solution

The fourth proportional to 703.69, 971.12 and 393.19 is: 542.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.69 : 971.12 = 393.19 : x
  2. Step 2: Convert to fraction form
    703.69/971.12 = 393.19/x
  3. Step 3: Cross multiply
    703.69x = 971.12 × 393.19
  4. Step 4: Simplify right side
    703.69x = 381,833.23
  5. Step 5: Solve for x
    x = 381,833.23/703.69
  6. Step 6: Final answer
    x = 542.62

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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.