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Finding the Fourth Proportional to 522.84, 783.63 and 481.80

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Solution

The fourth proportional to 522.84, 783.63 and 481.80 is: 722.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.84 : 783.63 = 481.80 : x
  2. Step 2: Convert to fraction form
    522.84/783.63 = 481.80/x
  3. Step 3: Cross multiply
    522.84x = 783.63 × 481.80
  4. Step 4: Simplify right side
    522.84x = 377,552.93
  5. Step 5: Solve for x
    x = 377,552.93/522.84
  6. Step 6: Final answer
    x = 722.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.