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Finding the Fourth Proportional to 938.76, 1,295.48 and 519.12

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Solution

The fourth proportional to 938.76, 1,295.48 and 519.12 is: 716.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.76 : 1,295.48 = 519.12 : x
  2. Step 2: Convert to fraction form
    938.76/1,295.48 = 519.12/x
  3. Step 3: Cross multiply
    938.76x = 1,295.48 × 519.12
  4. Step 4: Simplify right side
    938.76x = 672,509.58
  5. Step 5: Solve for x
    x = 672,509.58/938.76
  6. Step 6: Final answer
    x = 716.38

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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.