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Finding the Fourth Proportional to 829.76, 1,144.82 and 480.38

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Solution

The fourth proportional to 829.76, 1,144.82 and 480.38 is: 662.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.76 : 1,144.82 = 480.38 : x
  2. Step 2: Convert to fraction form
    829.76/1,144.82 = 480.38/x
  3. Step 3: Cross multiply
    829.76x = 1,144.82 × 480.38
  4. Step 4: Simplify right side
    829.76x = 549,946.23
  5. Step 5: Solve for x
    x = 549,946.23/829.76
  6. Step 6: Final answer
    x = 662.78

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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.