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Finding the Fourth Proportional to 547.65, 822.67 and 522.88

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Solution

The fourth proportional to 547.65, 822.67 and 522.88 is: 785.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.65 : 822.67 = 522.88 : x
  2. Step 2: Convert to fraction form
    547.65/822.67 = 522.88/x
  3. Step 3: Cross multiply
    547.65x = 822.67 × 522.88
  4. Step 4: Simplify right side
    547.65x = 430,154.33
  5. Step 5: Solve for x
    x = 430,154.33/547.65
  6. Step 6: Final answer
    x = 785.45

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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.