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Finding the Fourth Proportional to 990.77, 1,485.85 and 521.98

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Solution

The fourth proportional to 990.77, 1,485.85 and 521.98 is: 782.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.77 : 1,485.85 = 521.98 : x
  2. Step 2: Convert to fraction form
    990.77/1,485.85 = 521.98/x
  3. Step 3: Cross multiply
    990.77x = 1,485.85 × 521.98
  4. Step 4: Simplify right side
    990.77x = 775,586.39
  5. Step 5: Solve for x
    x = 775,586.39/990.77
  6. Step 6: Final answer
    x = 782.82

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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.