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Finding the Fourth Proportional to 547.84, 817.84 and 511.93

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Solution

The fourth proportional to 547.84, 817.84 and 511.93 is: 764.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.84 : 817.84 = 511.93 : x
  2. Step 2: Convert to fraction form
    547.84/817.84 = 511.93/x
  3. Step 3: Cross multiply
    547.84x = 817.84 × 511.93
  4. Step 4: Simplify right side
    547.84x = 418,676.83
  5. Step 5: Solve for x
    x = 418,676.83/547.84
  6. Step 6: Final answer
    x = 764.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.