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Finding the Fourth Proportional to 829.60, 1,144.38 and 480.24

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Solution

The fourth proportional to 829.60, 1,144.38 and 480.24 is: 662.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.60 : 1,144.38 = 480.24 : x
  2. Step 2: Convert to fraction form
    829.60/1,144.38 = 480.24/x
  3. Step 3: Cross multiply
    829.60x = 1,144.38 × 480.24
  4. Step 4: Simplify right side
    829.60x = 549,577.05
  5. Step 5: Solve for x
    x = 549,577.05/829.60
  6. Step 6: Final answer
    x = 662.46

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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.