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Finding the Fourth Proportional to 829.42, 1,144.72 and 480.16

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Solution

The fourth proportional to 829.42, 1,144.72 and 480.16 is: 662.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.42 : 1,144.72 = 480.16 : x
  2. Step 2: Convert to fraction form
    829.42/1,144.72 = 480.16/x
  3. Step 3: Cross multiply
    829.42x = 1,144.72 × 480.16
  4. Step 4: Simplify right side
    829.42x = 549,648.76
  5. Step 5: Solve for x
    x = 549,648.76/829.42
  6. Step 6: Final answer
    x = 662.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.