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Finding the Fourth Proportional to 767.59, 1,059.08 and 452.84

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Solution

The fourth proportional to 767.59, 1,059.08 and 452.84 is: 624.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.59 : 1,059.08 = 452.84 : x
  2. Step 2: Convert to fraction form
    767.59/1,059.08 = 452.84/x
  3. Step 3: Cross multiply
    767.59x = 1,059.08 × 452.84
  4. Step 4: Simplify right side
    767.59x = 479,586.23
  5. Step 5: Solve for x
    x = 479,586.23/767.59
  6. Step 6: Final answer
    x = 624.80

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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.