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Finding the Fourth Proportional to 546.95, 821.70 and 517.46

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Solution

The fourth proportional to 546.95, 821.70 and 517.46 is: 777.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.95 : 821.70 = 517.46 : x
  2. Step 2: Convert to fraction form
    546.95/821.70 = 517.46/x
  3. Step 3: Cross multiply
    546.95x = 821.70 × 517.46
  4. Step 4: Simplify right side
    546.95x = 425,192.77
  5. Step 5: Solve for x
    x = 425,192.77/546.95
  6. Step 6: Final answer
    x = 777.39

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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.