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Finding the Fourth Proportional to 985.58, 1,477.16 and 546.82

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Solution

The fourth proportional to 985.58, 1,477.16 and 546.82 is: 819.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.58 : 1,477.16 = 546.82 : x
  2. Step 2: Convert to fraction form
    985.58/1,477.16 = 546.82/x
  3. Step 3: Cross multiply
    985.58x = 1,477.16 × 546.82
  4. Step 4: Simplify right side
    985.58x = 807,732.56
  5. Step 5: Solve for x
    x = 807,732.56/985.58
  6. Step 6: Final answer
    x = 819.55

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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.