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Finding the Fourth Proportional to 990.48, 1,485.72 and 442.54

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Solution

The fourth proportional to 990.48, 1,485.72 and 442.54 is: 663.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.48 : 1,485.72 = 442.54 : x
  2. Step 2: Convert to fraction form
    990.48/1,485.72 = 442.54/x
  3. Step 3: Cross multiply
    990.48x = 1,485.72 × 442.54
  4. Step 4: Simplify right side
    990.48x = 657,490.53
  5. Step 5: Solve for x
    x = 657,490.53/990.48
  6. Step 6: Final answer
    x = 663.81

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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.